{"text_format":"1","workbook":"xlsx","n_sheets":2,"sheets":["Opt TA","Opt Acc"],"not_rendered":{"charts":0,"images":7,"macros":1,"external_links":0,"defined_names":74,"comments":2,"pivot_tables":0},"unopened":[],"bounds":{"document_bytes":16777216,"sheet_cells":100000,"rows_first":2000,"rows_last":500,"rows_between":2000,"halvings":0,"cell_chars":16384,"cell_head_chars":4096},"cells_cut":0,"cells_raw":0,"read":"whole","date_system":"1900"}

{"sheet":"Opt TA","index":0,"n_rows":375,"n_cols":16,"rows_kept":375,"cut":false,"hidden":false,"merged":[]}
["l",1.6553873270674635,null,null,null,null,{"$f":"PI()/180","v":1.7453292519943295E-2}]
["y",80,{"$f":"B2*D_R","v":1.3962634015954636},null,null,null,null,null,null,null,null,null,null,",    "]
["f",160,{"$f":"B3*D_R","v":2.7925268031909272},null,null,null,null,null,null,null,null,null,null,",       "]
[null,"t","u","v","ut",null,"Minimization of the maximum transmission angle deviation from 90o"]
[null,{"$f":"TAN(C3/2)","v":5.6712818196177066},{"$f":"TAN((C3-C2)/2)","v":0.83909963117727993},{"$f":"TAN(C2/2)","v":0.83909963117727993},{"$f":"C5*B5","v":4.7587704831436302}]
[]
["a1",{"$f":"C7/$C$7","v":1},{"$f":"SQRT((C5^2+B1^2)/(1+C5^2))","v":1.421708193851746},null,null,null,null,null,null,null,null,null,null,null,null," "]
["a2",{"$f":"C8/$C$7","v":0.45212344731943521},{"$f":"SQRT(D5^2/(1+D5^2))","v":0.64278760968653925},null,null,"max d",{"$f":"MAX(G10:G11)","v":72.08884812012576}]
["a3",0.74843942496264704,{"$f":"B1*C8","v":1.0640624630710842},null,null,"m","d"]
["a4",0.72159875486333058,{"$f":"SQRT((B5^2+B1^2)/(1+B5^2))","v":1.0259028624624145},null,"max",{"$f":"MAX(F15:F375)","v":162.08884812012576},{"$f":"F10-90","v":72.08884812012576}]
[null,null,null,null,"min",{"$f":"MIN(F15:F375)","v":43.716304419938055},{"$f":"90-F11","v":46.283695580061945}]
[]
["q12","q13","q14","q13","q14","m",null,null,null,null,null,null,null,"Dead Center design with optimum transmission angle"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,"Type l in between 1 and ut in cell B1 use solver tool to minimize the maximum deviation in cell G8 by changing B1"]
[0,{"$f":"FourBar2($B$8,$B$9,$B$10,1,1,A15*D_R)","v":1.1438155540356862},1.9068090029677551,{"$f":"B15/D_R","v":65.535803787662772},{"$f":"C15/D_R","v":109.25210820760083},{"$f":"E15-D15","v":43.716304419938055},null,null,null,null,null,null,null,"Constarint must be 1<l<ut"]
[1,{"$f":"FourBar2($B$8,$B$9,$B$10,1,1,A16*D_R)","v":1.1293360160555761},1.8925139423153474,{"$f":"B16/D_R","v":64.706187372103088},{"$f":"C16/D_R","v":108.43306156433434},{"$f":"E16-D16","v":43.72687419223125}]
[2,{"$f":"FourBar2($B$8,$B$9,$B$10,1,1,A17*D_R)","v":1.1147175222902506},1.8784486110524794,{"$f":"B17/D_R","v":63.868609376511621},{"$f":"C17/D_R","v":107.6271774455186},43.758568069006976,null,null,null,null,null,null,null,"For a more accurate result take smaller increments for q12."]
[3,{"$f":"FourBar2($B$8,$B$9,$B$10,1,1,A18*D_R)","v":1.0999813948828523},1.8646335248278656,{"$f":"B18/D_R","v":63.024291469700643},{"$f":"C18/D_R","v":106.8356313112389},43.811339841538256,null,null,null,null,null,null,null,"Usually, 1o increment is sufficient"]
[4,{"$f":"FourBar2($B$8,$B$9,$B$10,1,1,A19*D_R)","v":1.0851488782834717},1.8510885903931222,{"$f":"B19/D_R","v":62.174450868998399},{"$f":"C19/D_R","v":106.05956373434668},43.885112865348283]
[5,{"$f":"FourBar2($B$8,$B$9,$B$10,1,1,A20*D_R)","v":1.0702410199703172},1.8378329958983866,{"$f":"B20/D_R","v":61.320293506075629},{"$f":"C20/D_R","v":105.30007411486149},43.979780608785859]
[6,{"$f":"FourBar2($B$8,$B$9,$B$10,1,1,A21*D_R)","v":1.055278555582303},1.8248851092048319,{"$f":"B21/D_R","v":60.463007445527623},{"$f":"C21/D_R","v":104.5582148537072},44.095207408179576]
[7,{"$f":"FourBar2($B$8,$B$9,$B$10,1,1,A22*D_R)","v":1.0402817999725777},1.8122623855073579,{"$f":"B22/D_R","v":59.603756642701221},{"$f":"C22/D_R","v":103.83498605988217},44.231229417180948]
[8,{"$f":"FourBar2($B$8,$B$9,$B$10,1,1,A23*D_R)","v":1.0252705455274822},1.7999812853450092,{"$f":"B23/D_R","v":58.743675117800251},{"$f":"C23/D_R","v":103.13133085280217},44.387655735001914]
[9,{"$f":"FourBar2($B$8,$B$9,$B$10,1,1,A24*D_R)","v":1.0102639689017505},1.7880572038399059,{"$f":"B24/D_R","v":57.883861612206154},{"$f":"C24/D_R","v":102.44813130798974},44.564269695783587,null,null,"FourBar2() function is used for the analysis"]
[10,{"$f":"FourBar2($B$8,$B$9,$B$10,1,1,A25*D_R)","v":0.99528054710630387},1.7765044117564781,{"$f":"B25/D_R","v":57.02537478066273},{"$f":"C25/D_R","v":101.78620508001718},44.760830299354453]
[11,{"$f":"FourBar2($B$8,$B$9,$B$10,1,1,A26*D_R)","v":0.98033798365785085},1.7653360087203223,{"$f":"B26/D_R","v":56.169228959959923},{"$f":"C26/D_R","v":101.14630272214436},44.977073762184432]
[12,{"$f":"FourBar2($B$8,$B$9,$B$10,1,1,A27*D_R)","v":0.96545314526802273},1.7545638886885369,{"$f":"B27/D_R","v":55.316390541488467},{"$f":"C27/D_R","v":100.52910570791472},45.212715166426257]
[13,{"$f":"FourBar2($B$8,$B$9,$B$10,1,1,A28*D_R)","v":0.95064200932156795},1.7441987175285201,{"$f":"B28/D_R","v":54.467774961962107},{"$f":"C28/D_R","v":99.935225146515037},45.467450184552931]
[14,{"$f":"FourBar2($B$8,$B$9,$B$10,1,1,A29*D_R)","v":0.9359196221753604},1.7342499223465913,{"$f":"B29/D_R","v":53.624244314126763},{"$f":"C29/D_R","v":99.365201171350435},45.740956857223672]
[15,{"$f":"FourBar2($B$8,$B$9,$B$10,1,1,A30*D_R)","v":0.92130006810858112},1.7247256920166538,{"$f":"B30/D_R","v":52.786605567736991},{"$f":"C30/D_R","v":98.819502970334526},46.032897402597534]
[16,{"$f":"FourBar2($B$8,$B$9,$B$10,1,1,A31*D_R)","v":0.90679644857416308},1.7156329881962846,{"$f":"B31/D_R","v":51.955609380751341},{"$f":"C31/D_R","v":98.298529417064884},46.342920036313544]
[17,{"$f":"FourBar2($B$8,$B$9,$B$10,1,1,A32*D_R)","v":0.89242087124601432},1.7069775659855477,{"$f":"B32/D_R","v":51.131949471784466},{"$f":"C32/D_R","v":97.80261025448587},46.670660782701404]
[18,{"$f":"FourBar2($B$8,$B$9,$B$10,1,1,A33*D_R)","v":0.87818444822771724},1.6987640032833891,{"$f":"B33/D_R","v":50.316262517473142},{"$f":"C33/D_R","v":97.332007776886115},47.015745259412974]
[19,{"$f":"FourBar2($B$8,$B$9,$B$10,1,1,A34*D_R)","v":0.86409730268735707},1.6909957378274489,{"$f":"B34/D_R","v":49.509128532623969},{"$f":"C34/D_R","v":96.88691895212348},47.377790419499512]
[20,{"$f":"FourBar2($B$8,$B$9,$B$10,1,1,A35*D_R)","v":0.85016858310956944},1.6836751108640129,{"$f":"B35/D_R","v":48.711071686795492},{"$f":"C35/D_R","v":96.467477923728921},47.756406236933429]
[21,{"$f":"FourBar2($B$8,$B$9,$B$10,1,1,A36*D_R)","v":0.83640648430865672},1.6768034163833474,{"$f":"B36/D_R","v":47.922561508261147},{"$f":"C36/D_R","v":96.073758831883438},48.151197323622291]
[22,{"$f":"FourBar2($B$8,$B$9,$B$10,1,1,A37*D_R)","v":0.82281827432380472},1.6703809548688329,{"$f":"B37/D_R","v":47.144014424991603},{"$f":"C37/D_R","v":95.705778893016557},48.561764468024954]
[23,{"$f":"FourBar2($B$8,$B$9,$B$10,1,1,A38*D_R)","v":0.80941032631639009},1.6644070905426178,{"$f":"B38/D_R","v":46.375795592235903},{"$f":"C38/D_R","v":95.363501679740679},48.987706087504776]
[24,{"$f":"FourBar2($B$8,$B$9,$B$10,1,1,A39*D_R)","v":0.79618815460731884},1.6588803111423516,{"$f":"B39/D_R","v":45.618220957308836},{"$f":"C39/D_R","v":95.04684054580558},49.428619588496744]
[25,{"$f":"FourBar2($B$8,$B$9,$B$10,1,1,A40*D_R)","v":0.78315645402604406},1.6537982893291105,{"$f":"B40/D_R","v":44.871559514123611},{"$f":"C40/D_R","v":94.755662144513437},49.884102630389826]
[26,{"$f":"FourBar2($B$8,$B$9,$B$10,1,1,A41*D_R)","v":0.77031914178932781},1.6491579449023546,{"$f":"B41/D_R","v":44.136035702668124},{"$f":"C41/D_R","v":94.489789993373265},50.35375429070514]
[27,{"$f":"FourBar2($B$8,$B$9,$B$10,1,1,A42*D_R)","v":0.75767940118378774},1.6449555070801865,{"$f":"B42/D_R","v":43.411831911830546},{"$f":"C42/D_R","v":94.249008042496882},50.837176130666336]
[28,{"$f":"FourBar2($B$8,$B$9,$B$10,1,1,A43*D_R)","v":0.74523972638897029},1.641186576189285,{"$f":"B43/D_R","v":42.699091047572239},{"$f":"C43/D_R","v":94.033064209171755},51.333973161599516]
[29,{"$f":"FourBar2($B$8,$B$9,$B$10,1,1,A44*D_R)","v":0.73300196784454219},1.6378461841960115,{"$f":"B44/D_R","v":41.997919132276344},{"$f":"C44/D_R","v":93.841673846037892},51.843754713761548]
[30,{"$f":"FourBar2($B$8,$B$9,$B$10,1,1,A45*D_R)","v":0.72096737763384899},1.6349288535959992,{"$f":"B45/D_R","v":41.308387905034174},{"$f":"C45/D_R","v":93.674523115212821},52.366135210178648]
[31,{"$f":"FourBar2($B$8,$B$9,$B$10,1,1,A46*D_R)","v":0.70913665442464813},1.6324286542622366,{"$f":"B46/D_R","v":40.63053739655949},{"$f":"C46/D_R","v":93.5312722454468},52.900734848887311]
[32,{"$f":"FourBar2($B$8,$B$9,$B$10,1,1,A47*D_R)","v":0.69750998757470195},1.6303392579298221,{"$f":"B47/D_R","v":39.964378456252916},{"$f":"C47/D_R","v":93.411558653869335},53.447180197616419]
[33,{"$f":"FourBar2($B$8,$B$9,$B$10,1,1,A48*D_R)","v":0.68608710007378526},1.6286539900680868,{"$f":"B48/D_R","v":39.309895212597645},{"$f":"C48/D_R","v":93.314999918042858},54.005104705445213]
[34,{"$f":"FourBar2($B$8,$B$9,$B$10,1,1,A49*D_R)","v":0.67486729005367962},1.6273658789570273,{"$f":"B49/D_R","v":38.667047451507003},{"$f":"C49/D_R","v":93.241196587835248},54.574149136328245]
[35,{"$f":"FourBar2($B$8,$B$9,$B$10,1,1,A50*D_R)","v":0.66384947065309374},1.626467701844464,{"$f":"B50/D_R","v":38.03577290041607},{"$f":"C50/D_R","v":93.189734830030119},55.153961929614049]
[36,{"$f":"FourBar2($B$8,$B$9,$B$10,1,1,A51*D_R)","v":0.65303220807490048},1.6259520281129809,{"$f":"B51/D_R","v":37.415989408800797},{"$f":"C51/D_R","v":93.160188901610383},55.744199492809585]
[37,{"$f":"FourBar2($B$8,$B$9,$B$10,1,1,A52*D_R)","v":0.64241375771826237},1.6258112594314813,{"$f":"B52/D_R","v":36.807597018396244},{"$f":"C52/D_R","v":93.152123450272839},56.344526431876595]
[38,{"$f":"FourBar2($B$8,$B$9,$B$10,1,1,A53*D_R)","v":0.63199209830820913},1.6260376669053938,{"$f":"B53/D_R","v":36.2104799186774},{"$f":"C53/D_R","v":93.16509564297823},56.95461572430083]
[39,{"$f":"FourBar2($B$8,$B$9,$B$10,1,1,A54*D_R)","v":0.62176496398007974},1.6266234252724998,{"$f":"B54/D_R","v":35.624508285162221},{"$f":"C54/D_R","v":93.198657125227882},57.574148840065661]
[40,{"$f":"FourBar2($B$8,$B$9,$B$10,1,1,A55*D_R)","v":0.61172987430616454},1.6275606442184478,{"$f":"B55/D_R","v":35.049539999811564},{"$f":"C55/D_R","v":93.252355815310409},58.202815815498845]
[41,{"$f":"FourBar2($B$8,$B$9,$B$10,1,1,A56*D_R)","v":0.60188416227722774},1.6288413969078224,{"$f":"B56/D_R","v":34.485422254252299},{"$f":"C56/D_R","v":93.325737539011598},58.840315284759299]
[42,{"$f":"FourBar2($B$8,$B$9,$B$10,1,1,A57*D_R)","v":0.59222500027258107},1.6304577458435681,{"$f":"B57/D_R","v":33.931993037752925},{"$f":"C57/D_R","v":93.418347511250289},59.486354473497364]
[43,{"$f":"FourBar2($B$8,$B$9,$B$10,1,1,A58*D_R)","v":0.58274942406956054},1.6324017661802739,{"$f":"B58/D_R","v":33.389082512865251},{"$f":"C58/D_R","v":93.529731671831129},60.140649158965878]
[44,{"$f":"FourBar2($B$8,$B$9,$B$10,1,1,A59*D_R)","v":0.57345435495684649},1.6346655666257535,{"$f":"B59/D_R","v":32.856514282424321},{"$f":"C59/D_R","v":93.659437883016949},60.802923600592628]
[45,{"$f":"FourBar2($B$8,$B$9,$B$10,1,1,A60*D_R)","v":0.56433662002658869},1.6372413080710251,{"$f":"B60/D_R","v":32.33410655220154},{"$f":"C60/D_R","v":93.807016996947937},61.472910444746397]
[46,{"$f":"FourBar2($B$8,$B$9,$B$10,1,1,A61*D_R)","v":0.55539297072805449},1.6401212200917132,{"$f":"B61/D_R","v":31.821673193950396},{"$f":"C61/D_R","v":93.972023801102367},62.150350607151971]
[47,{"$f":"FourBar2($B$8,$B$9,$B$10,1,1,A62*D_R)","v":0.54662009977091941},1.6432976154644923,{"$f":"B62/D_R","v":31.319024713893658},{"$f":"C62/D_R","v":94.154017850027486},62.834993136133832]
[48,{"$f":"FourBar2($B$8,$B$9,$B$10,1,1,A63*D_R)","v":0.53801465646967306},1.6467629028408264,{"$f":"B63/D_R","v":30.825969131893117},{"$f":"C63/D_R","v":94.352564191491396},63.526595059598279]
[49,{"$f":"FourBar2($B$8,$B$9,$B$10,1,1,A64*D_R)","v":0.52957326062226051},1.6505095977173803,{"$f":"B64/D_R","v":30.342312776637119},{"$f":"C64/D_R","v":94.567233995041221},64.224921218404106]
[50,{"$f":"FourBar2($B$8,$B$9,$B$10,1,1,A65*D_R)","v":0.52129251501629725},1.6545303318383318,{"$f":"B65/D_R","v":29.867861002193923},{"$f":"C65/D_R","v":94.79760509071599},64.929744088522071]
[51,{"$f":"FourBar2($B$8,$B$9,$B$10,1,1,A66*D_R)","v":0.51316901665522807},1.6588178611597257,{"$f":"B66/D_R","v":29.402418831223219},{"$f":"C66/D_R","v":95.043262425370443},65.640843594147228]
[52,{"$f":"FourBar2($B$8,$B$9,$B$10,1,1,A67*D_R)","v":0.50519936679489486},1.6633650725002094,{"$f":"B67/D_R","v":28.945791530029098},{"$f":"C67/D_R","v":95.303798443734181},66.358006913705083]
[53,{"$f":"FourBar2($B$8,$B$9,$B$10,1,1,A68*D_R)","v":0.49738017987833993},1.6681649889961978,{"$f":"B68/D_R","v":28.49778512048659},{"$f":"C68/D_R","v":95.578813400969551},67.081028280482968]
[54,{"$f":"FourBar2($B$8,$B$9,$B$10,1,1,A69*D_R)","v":0.48970809145343708},1.673210774472913,{"$f":"B69/D_R","v":28.058206833688484},{"$f":"C69/D_R","v":95.867915613113738},67.80970877942525]
[55,{"$f":"FourBar2($B$8,$B$9,$B$10,1,1,A70*D_R)","v":0.48217976515430672},1.6784957368359403,{"$f":"B70/D_R","v":27.626865509950971},{"$f":"C70/D_R","v":96.170721651400683},68.543856141449709]
[56,{"$f":"FourBar2($B$8,$B$9,$B$10,1,1,A71*D_R)","v":0.47479189882353867},1.6840133305811391,{"$f":"B71/D_R","v":27.203571949591161},{"$f":"C71/D_R","v":96.486856486068362},69.283284536477197]
[57,{"$f":"FourBar2($B$8,$B$9,$B$10,1,1,A72*D_R)","v":0.46754122984811719},1.689757158513963,{"$f":"B72/D_R","v":26.788139218653065},{"$f":"C72/D_R","v":96.815953584868524},70.027814366215466]
[58,{"$f":"FourBar2($B$8,$B$9,$B$10,1,1,A73*D_R)","v":0.46042453977774045},1.6957209727626117,{"$f":"B73/D_R","v":26.380382913517817},{"$f":"C73/D_R","v":97.157654971116074},70.777272057598253]
[59,{"$f":"FourBar2($B$8,$B$9,$B$10,1,1,A74*D_R)","v":0.45343865828996432},1.701898675162991,{"$f":"B74/D_R","v":25.980121388089675},{"$f":"C74/D_R","v":97.511611245745641},71.53148985765597]
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[343,{"$f":"FourBar2($B$8,$B$9,$B$10,1,1,A358*D_R)","v":1.3500178373666221},2.1645745321061556,{"$f":"B358/D_R","v":77.350324348486211},{"$f":"C358/D_R","v":124.02098513118762},46.670660782701404]
[344,{"$f":"FourBar2($B$8,$B$9,$B$10,1,1,A359*D_R)","v":1.3406935421361181},2.1495300817582397,{"$f":"B359/D_R","v":76.816081584844369},{"$f":"C359/D_R","v":123.15900162115791},46.342920036313544]
[345,{"$f":"FourBar2($B$8,$B$9,$B$10,1,1,A360*D_R)","v":1.3309598638940923},2.1343854878021649,{"$f":"B360/D_R","v":76.258382902437972},{"$f":"C360/D_R","v":122.2912803050355},46.032897402597527]
[346,{"$f":"FourBar2($B$8,$B$9,$B$10,1,1,A361*D_R)","v":1.3208245517645576},2.1191548519357886,{"$f":"B361/D_R","v":75.677672293367877},{"$f":"C361/D_R","v":121.41862915059156},45.740956857223679]
[347,{"$f":"FourBar2($B$8,$B$9,$B$10,1,1,A362*D_R)","v":1.3102965397568378},2.1038532479637904,{"$f":"B362/D_R","v":75.074461638662484},{"$f":"C362/D_R","v":120.54191182321544},45.467450184552959]
[348,{"$f":"FourBar2($B$8,$B$9,$B$10,1,1,A363*D_R)","v":1.299385952057174},2.088496695477688,{"$f":"B363/D_R","v":74.449331011464395},{"$f":"C363/D_R","v":119.66204617789064},45.21271516642625]
[349,{"$f":"FourBar2($B$8,$B$9,$B$10,1,1,A364*D_R)","v":1.2881040980174587},2.0731021230799302,{"$f":"B364/D_R","v":73.8029283899061},{"$f":"C364/D_R","v":118.78000215209053},44.977073762184432]
[350,{"$f":"FourBar2($B$8,$B$9,$B$10,1,1,A365*D_R)","v":1.2764634562076429},2.0576873208578172,{"$f":"B365/D_R","v":73.135968743380118},{"$f":"C365/D_R","v":117.89679904273457},44.760830299354453]
[351,{"$f":"FourBar2($B$8,$B$9,$B$10,1,1,A366*D_R)","v":1.2644776470597585},2.0422708819979141,{"$f":"B366/D_R","v":72.449232465157053},{"$f":"C366/D_R","v":117.01350216094065},44.564269695783594]
[352,{"$f":"FourBar2($B$8,$B$9,$B$10,1,1,A367*D_R)","v":1.2521613938193799},2.0268721336369069,{"$f":"B367/D_R","v":71.743563135069024},{"$f":"C367/D_R","v":116.13121887007094},44.387655735001914]
[353,{"$f":"FourBar2($B$8,$B$9,$B$10,1,1,A368*D_R)","v":1.2395304717308648},2.0115110572656452,{"$f":"B368/D_R","v":71.019864608038546},{"$f":"C368/D_R","v":115.25109402521952},44.23122941718097]
[354,{"$f":"FourBar2($B$8,$B$9,$B$10,1,1,A369*D_R)","v":1.2266016456106861},1.996208199233215,{"$f":"B369/D_R","v":70.279097437293814},{"$f":"C369/D_R","v":114.37430484547339},44.095207408179576]
[355,{"$f":"FourBar2($B$8,$B$9,$B$10,1,1,A370*D_R)","v":1.2133925962022554},1.9809845721303248,{"$f":"B370/D_R","v":69.522274654810957},{"$f":"C370/D_R","v":113.50205526359682},43.979780608785859]
[356,{"$f":"FourBar2($B$8,$B$9,$B$10,1,1,A371*D_R)","v":1.1999218359484545},1.965861548058105,{"$f":"B371/D_R","v":68.750456945435587},{"$f":"C371/D_R","v":112.63556981078386},43.885112865348276]
[357,{"$f":"FourBar2($B$8,$B$9,$B$10,1,1,A372*D_R)","v":1.1862086150564095},1.9508607450014228,{"$f":"B372/D_R","v":67.964747264790788},{"$f":"C372/D_R","v":111.77608710632904},43.811339841538256]
[358,{"$f":"FourBar2($B$8,$B$9,$B$10,1,1,A373*D_R)","v":1.1722728189544831},1.9360039077167119,{"$f":"B373/D_R","v":67.166284963995537},{"$f":"C373/D_R","v":110.92485303300251},43.758568069006969]
[359,{"$f":"FourBar2($B$8,$B$9,$B$10,1,1,A374*D_R)","v":1.1581348584455713},1.9213127847053426,{"$f":"B374/D_R","v":66.356239495912263},{"$f":"C374/D_R","v":110.08311368814351},43.72687419223125]
[360,{"$f":"FourBar2($B$8,$B$9,$B$10,1,1,A375*D_R)","v":1.1438155540356862},1.9068090029677551,{"$f":"B375/D_R","v":65.535803787662772},{"$f":"C375/D_R","v":109.25210820760083},43.716304419938055]

{"sheet":"Opt Acc","index":1,"n_rows":375,"n_cols":14,"rows_kept":375,"cut":false,"hidden":false,"merged":[]}
["l",1.7293647104636696,null,null,null,null,{"$f":"PI()/180","v":1.7453292519943295E-2}]
["y",80,{"$f":"B2*D_R","v":1.3962634015954636},null,null,null,null,null,null,null,null,",    "]
["f",160,{"$f":"B3*D_R","v":2.7925268031909272},null,null,null,null,null,null,null,null,",       "]
[null,"t","u","v","ut",null,"Minimization of the maximum acceleration of the output link"]
[null,{"$f":"TAN(C3/2)","v":5.6712818196177066},{"$f":"TAN((C3-C2)/2)","v":0.83909963117727993},{"$f":"TAN(C2/2)","v":0.83909963117727993},{"$f":"C5*B5","v":4.7587704831436302}]
[]
["a1",{"$f":"C7/$C$7","v":1},{"$f":"SQRT((C5^2+B1^2)/(1+C5^2))","v":1.4724782050647678},null,null,null,null,null,null,null,null,null,null," "]
["a2",{"$f":"C8/$C$7","v":0.43653454935739838},{"$f":"SQRT(D5^2/(1+D5^2))","v":0.64278760968653925},null,null,"Max Acc",{"$f":"MAX(I10,-I11)","v":1.4009499721306262}]
["a3",0.75492744455684568,{"$f":"B1*C8","v":1.1116142085151961}]
["a4",0.69921315793325223,{"$f":"SQRT((B5^2+B1^2)/(1+B5^2))","v":1.0295761357512232},null,null,null,null,null,{"$f":"MAX(I15:I375)","v":1.4009499688803559}]
[null,null,null,null,null,null,null,null,{"$f":"MIN(I15:I375)","v":-1.4009499721306262}]
[]
["q12","q13","q14","q13","q14","m","w13","w14","a14",null,null,"Dead Center design with minimum maximum acceleration of the output link"]
[null,null,null,null,null,null,null,null,null,null,null,"Type l in between 1 and ut in cell B1 use solver tool to minimize the maximum acceleration in cell G8 by changing B1"]
[0,{"$f":"FourBar2($B$8,$B$9,$B$10,1,1,A15*D_R)","v":1.0832935224462545},1.8756053018007182,{"$f":"B15/D_R","v":62.068146810030896},{"$f":"C15/D_R","v":107.46426782554218},{"$f":"E15-D15","v":45.396121015511284},{"$f":"$B$8/$B$9*SIN(A15*D_R-C15)/SIN(C15-B15)","v":-0.77473170512860112},{"$f":"$B$8/$B$10*SIN(A15*D_R-B15)/SIN(C15-B15)","v":-0.77473170512860079},{"$f":"($B$8/$B$10*COS(A15*D_R-B15)-H15^2*COS(B15-C15)+$B$9/$B$10*G15^2)/SIN(C15-B15)","v":0.72897271033931565},null,null,"Constarint must be 1<l<ut"]
[1,{"$f":"FourBar2($B$8,$B$9,$B$10,1,1,A16*D_R)","v":1.069709126435392},1.8621977996526273,{"$f":"B16/D_R","v":61.289818251374115},{"$f":"C16/D_R","v":106.69607453864398},{"$f":"E16-D16","v":45.406256287269869},{"$f":"$B$8/$B$9*SIN(A16*D_R-C16)/SIN(C16-B16)","v":-0.78174727995496995},{"$f":"$B$8/$B$10*SIN(A16*D_R-B16)/SIN(C16-B16)","v":-0.76147901868592083},{"$f":"($B$8/$B$10*COS(A16*D_R-B16)-H16^2*COS(B16-C16)+$B$9/$B$10*G16^2)/SIN(C16-B16)","v":0.78942015234893859}]
[2,{"$f":"FourBar2($B$8,$B$9,$B$10,1,1,A17*D_R)","v":1.0560116101018848},1.849030726070727,{"$f":"B17/D_R","v":60.50500837565265},{"$f":"C17/D_R","v":105.94165679386289},45.43664841821024,{"$f":"$B$8/$B$9*SIN(A17*D_R-C17)/SIN(C17-B17)","v":-0.78769466592311865},{"$f":"$B$8/$B$10*SIN(A17*D_R-B17)/SIN(C17-B17)","v":-0.74718549681038027},{"$f":"($B$8/$B$10*COS(A17*D_R-B17)-H17^2*COS(B17-C17)+$B$9/$B$10*G17^2)/SIN(C17-B17)","v":0.84819164076484299},null,null,"For a more accurate result take smaller increments for q12."]
[3,{"$f":"FourBar2($B$8,$B$9,$B$10,1,1,A18*D_R)","v":1.0422195834709025},1.8361219761640568,{"$f":"B18/D_R","v":59.714783458765325},{"$f":"C18/D_R","v":105.20203990542079},45.487256446655465,{"$f":"$B$8/$B$9*SIN(A18*D_R-C18)/SIN(C18-B18)","v":-0.7925786175876588},{"$f":"$B$8/$B$10*SIN(A18*D_R-B18)/SIN(C18-B18)","v":-0.73188306506177248},{"$f":"($B$8/$B$10*COS(A18*D_R-B18)-H18^2*COS(B18-C18)+$B$9/$B$10*G18^2)/SIN(C18-B18)","v":0.90498363986188379},null,null,"Usually, 1o increment is sufficient"]
[4,{"$f":"FourBar2($B$8,$B$9,$B$10,1,1,A19*D_R)","v":1.0283515254012692},1.82348884255303,{"$f":"B19/D_R","v":58.920202261332996},{"$f":"C19/D_R","v":104.4782146674841},45.5580124061511,{"$f":"$B$8/$B$9*SIN(A19*D_R-C19)/SIN(C19-B19)","v":-0.79640938343543322},{"$f":"$B$8/$B$10*SIN(A19*D_R-B19)/SIN(C19-B19)","v":-0.71560878093029501},{"$f":"($B$8/$B$10*COS(A19*D_R-B19)-H19^2*COS(B19-C19)+$B$9/$B$10*G19^2)/SIN(C19-B19)","v":0.95951222318502571}]
[5,{"$f":"FourBar2($B$8,$B$9,$B$10,1,1,A20*D_R)","v":1.0144256893379642},1.8111479289684431,{"$f":"B20/D_R","v":58.122310628714537},{"$f":"C20/D_R","v":103.77113240375159},45.648821775037057,{"$f":"$B$8/$B$9*SIN(A20*D_R-C20)/SIN(C20-B20)","v":-0.79920250676076909},{"$f":"$B$8/$B$10*SIN(A20*D_R-B20)/SIN(C20-B20)","v":-0.69840446072800344},{"$f":"($B$8/$B$10*COS(A20*D_R-B20)-H20^2*COS(B20-C20)+$B$9/$B$10*G20^2)/SIN(C20-B20)","v":1.0115165346309452}]
[6,{"$f":"FourBar2($B$8,$B$9,$B$10,1,1,A21*D_R)","v":1.0004600131111965},1.7991150708657084,{"$f":"B21/D_R","v":57.322136322874563},{"$f":"C21/D_R","v":103.08170041898511},45.759564096110545,{"$f":"$B$8/$B$9*SIN(A21*D_R-C21)/SIN(C21-B21)","v":-0.80097856209191465},{"$f":"$B$8/$B$10*SIN(A21*D_R-B21)/SIN(C21-B21)","v":-0.6803162502337301},{"$f":"($B$8/$B$10*COS(A21*D_R-B21)-H21^2*COS(B21-C21)+$B$9/$B$10*G21^2)/SIN(C21-B21)","v":1.0607617613328493}]
[7,{"$f":"FourBar2($B$8,$B$9,$B$10,1,1,A22*D_R)","v":0.98647203385041649},1.787405263958378,{"$f":"B22/D_R","v":56.520684147315343},{"$f":"C22/D_R","v":102.41077790428193},45.890093756966586,{"$f":"$B$8/$B$9*SIN(A22*D_R-C22)/SIN(C22-B22)","v":-0.80176283385442892},{"$f":"$B$8/$B$10*SIN(A22*D_R-B22)/SIN(C22-B22)","v":-0.66139414815766295},{"$f":"($B$8/$B$10*COS(A22*D_R-B22)-H22^2*COS(B22-C22)+$B$9/$B$10*G22^2)/SIN(C22-B22)","v":1.1070415588689808}]
[8,{"$f":"FourBar2($B$8,$B$9,$B$10,1,1,A23*D_R)","v":0.97247880895445482},1.7760326014086929,{"$f":"B23/D_R","v":55.718931418999347},{"$f":"C23/D_R","v":101.75917233835848},46.040240919359135,{"$f":"$B$8/$B$9*SIN(A23*D_R-C23)/SIN(C23-B23)","v":-0.80158494511552114},{"$f":"$B$8/$B$10*SIN(A23*D_R-B23)/SIN(C23-B23)","v":-0.64169149236656087},{"$f":"($B$8/$B$10*COS(A23*D_R-B23)-H23^2*COS(B23-C23)+$B$9/$B$10*G23^2)/SIN(C23-B23)","v":1.1501798882470462}]
[9,{"$f":"FourBar2($B$8,$B$9,$B$10,1,1,A24*D_R)","v":0.95849684391406698},1.7650102202342186,{"$f":"B24/D_R","v":54.917823832885659},{"$f":"C24/D_R","v":101.12763641687665},46.209812583990995,{"$f":"$B$8/$B$9*SIN(A24*D_R-C24)/SIN(C24-B24)","v":-0.80047844512066357},{"$f":"$B$8/$B$10*SIN(A24*D_R-B24)/SIN(C24-B24)","v":-0.62126441934664955},{"$f":"($B$8/$B$10*COS(A24*D_R-B24)-H24^2*COS(B24-C24)+$B$9/$B$10*G24^2)/SIN(C24-B24)","v":1.1900322438315249}]
[10,{"$f":"FourBar2($B$8,$B$9,$B$10,1,1,A25*D_R)","v":0.944542027625772},1.7543502573045588,{"$f":"B25/D_R","v":54.118271755685946},{"$f":"C25/D_R","v":100.51686553124124},46.398593775555291,{"$f":"$B$8/$B$9*SIN(A25*D_R-C25)/SIN(C25-B25)","v":-0.79848036489163388},{"$f":"$B$8/$B$10*SIN(A25*D_R-B25)/SIN(C25-B25)","v":-0.60017130757339754},{"$f":"($B$8/$B$10*COS(A25*D_R-B25)-H25^2*COS(B25-C25)+$B$9/$B$10*G25^2)/SIN(C25-B25)","v":1.2264862709211863}]
[11,{"$f":"FourBar2($B$8,$B$9,$B$10,1,1,A26*D_R)","v":0.93062957567153881},1.7440638151167378,{"$f":"B26/D_R","v":53.321146976029851},{"$f":"C26/D_R","v":99.927495807673779},46.606348831643928,{"$f":"$B$8/$B$9*SIN(A26*D_R-C26)/SIN(C26-B26)","v":-0.79563075040033571},{"$f":"$B$8/$B$10*SIN(A26*D_R-B26)/SIN(C26-B26)","v":-0.57847221531656978},{"$f":"($B$8/$B$10*COS(A26*D_R-B26)-H26^2*COS(B26-C26)+$B$9/$B$10*G26^2)/SIN(C26-B26)","v":1.2594617901586675}]
[12,{"$f":"FourBar2($B$8,$B$9,$B$10,1,1,A27*D_R)","v":0.91677398187285652},1.7341609373575277,{"$f":"B27/D_R","v":52.527279928717718},{"$f":"C27/D_R","v":99.360102707037072},46.832822778319354,{"$f":"$B$8/$B$9*SIN(A27*D_R-C27)/SIN(C27-B27)","v":-0.79197218277670978},{"$f":"$B$8/$B$10*SIN(A27*D_R-B27)/SIN(C27-B27)","v":-0.55622832296072333},{"$f":"($B$8/$B$10*COS(A27*D_R-B27)-H27^2*COS(B27-C27)+$B$9/$B$10*G27^2)/SIN(C27-B27)","v":1.2889102625905404}]
[13,{"$f":"FourBar2($B$8,$B$9,$B$10,1,1,A28*D_R)","v":0.90298897826518409},1.7246505940910049,{"$f":"B28/D_R","v":51.737457401425473},{"$f":"C28/D_R","v":98.815200176144657},47.077742774719184,{"$f":"$B$8/$B$9*SIN(A28*D_R-C28)/SIN(C28-B28)","v":-0.78754929467595924},{"$f":"$B$8/$B$10*SIN(A28*D_R-B28)/SIN(C28-B28)","v":-0.53350138920334511},{"$f":"($B$8/$B$10*COS(A28*D_R-B28)-H28^2*COS(B28-C28)+$B$9/$B$10*G28^2)/SIN(C28-B28)","v":1.3148137433815503}]
[14,{"$f":"FourBar2($B$8,$B$9,$B$10,1,1,A29*D_R)","v":0.88928750348421137},1.7155406762541161,{"$f":"B29/D_R","v":50.9524207233708},{"$f":"C29/D_R","v":98.29324033237998},47.340819609009181,{"$f":"$B$8/$B$9*SIN(A29*D_R-C29)/SIN(C29-B29)","v":-0.78240829135485024},{"$f":"$B$8/$B$10*SIN(A29*D_R-B29)/SIN(C29-B29)","v":-0.5103532295519605},{"$f":"($B$8/$B$10*COS(A29*D_R-B29)-H29^2*COS(B29-C29)+$B$9/$B$10*G29^2)/SIN(C29-B29)","v":1.3371833834919225}]
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