Model tp124 ! Source version 1 ! Simple APM canonicalizer version 1.3 ! APM back end version 1.1 Parameters mypi = 4*atan(1) c2 = 2 c3 = 3 c10 = 10 c20 = 20 c1000 = 1000 c100000 = 100000 rrough = ((50/c1000)/((2700 + 19300 + 7860)*(4/c3)*mypi))^(1/c3) rcage = c10 End Parameters Variables x_1 = rrough x_2 = rrough x_3 = rrough x_4 = (-1)/c20 x_5 = 1/c20 x_6 = (-1)/c20 x_7 = (-1)/c20 x_8 = (-1)*rrough/c10 x_9 = 1/c20 x_10 = 1/c10 x_11 = 1/c10 x_12 = 1/c10 obj End Variables Intermediates massa = 2700*(4/c3)*mypi*x_1^3 massg = 19300*(4/c3)*mypi*x_2^3 massi = 7860*(4/c3)*mypi*x_3^3 dista0p2 = x_4^2 + x_7^2 + x_10^2 distg0p2 = x_5^2 + x_8^2 + x_11^2 disti0p2 = x_6^2 + x_9^2 + x_12^2 distag = sqrt((x_4 - x_5)^2 + (x_7 - x_8)^2 + (x_10 - x_11)^2) distgi = sqrt((x_5 - x_6)^2 + (x_8 - x_9)^2 + (x_11 - x_12)^2) distia = sqrt((x_6 - x_4)^2 + (x_9 - x_7)^2 + (x_12 - x_10)^2) rsumag = x_1 + x_2 rsumgi = x_2 + x_3 rsumia = x_3 + x_1 mf = (980665/c100000)*(massa*x_10 + massg*x_11 + massi*x_12) c_1 = x_8 + x_2/c10 c_2 = massa + massg + massi - 50/c1000 c_3 = (x_1^2 + 2*rcage*(x_10 - x_1) - dista0p2)/rrough c_4 = (x_2^2 + 2*rcage*(x_11 - x_2) - distg0p2)/rrough c_5 = (x_3^2 + 2*rcage*(x_12 - x_3) - disti0p2)/rrough c_6 = distag - rsumag c_7 = distgi - rsumgi c_8 = distia - rsumia c_9 = (-1)*(x_4 + x_1/c10) c_10 = x_5 - x_2/c10 c_11 = (-1)*(x_6 + x_3/c10) c_12 = (-1)*(x_7 + x_1/c10) c_13 = x_9 - x_3/c10 c_14 = x_1 - x_2/c2 c_15 = x_1 - x_3/c2 c_16 = x_2 - x_1/c2 c_17 = x_2 - x_3/c2 c_18 = x_3 - x_1/c2 c_19 = x_3 - x_2/c2 myminfun = mf myabsdevnod0_0 = abs(myminfun - 0.003613399978959025) myreldevnod0_0 = abs(myminfun/0.003613399978959025 - 1) myabsdevnod0_1 = abs(x_1 - 0.007362147911252038) myreldevnod0_1 = abs(x_1/0.007362147911252038 - 1) myabsdevnod0_2 = abs(x_2 - 0.007368187804536048) myreldevnod0_2 = abs(x_2/0.007368187804536048 - 1) myabsdevnod0_3 = abs(x_3 - 0.007364020066820026) myreldevnod0_3 = abs(x_3/0.007364020066820026 - 1) myabsdevnod0_4 = abs(x_4 + 0.007186816148083809) myreldevnod0_4 = abs(x_4/0.007186816148083809 + 1) myabsdevnod0_5 = abs(x_5 - 0.004624558029378723) myreldevnod0_5 = abs(x_5/0.004624558029378723 - 1) myabsdevnod0_6 = abs(x_6 + 0.008907886813874873) myreldevnod0_6 = abs(x_6/0.008907886813874873 + 1) myabsdevnod0_7 = abs(x_7 + 0.009538763471247417) myreldevnod0_7 = abs(x_7/0.009538763471247417 + 1) myabsdevnod0_8 = abs(x_8 + 0.0007368187804536048) myreldevnod0_8 = abs(x_8/0.0007368187804536048 + 1) myabsdevnod0_9 = abs(x_9 - 0.005086486580691817) myreldevnod0_9 = abs(x_9/0.005086486580691817 - 1) myabsdevnod0_10 = abs(x_10 - 0.007369285085037246) myreldevnod0_10 = abs(x_10/0.007369285085037246 - 1) myabsdevnod0_11 = abs(x_11 - 0.007369285085037246) myreldevnod0_11 = abs(x_11/0.007369285085037246 - 1) myabsdevnod0_12 = abs(x_12 - 0.007369285085037246) myreldevnod0_12 = abs(x_12/0.007369285085037246 - 1) myabsdevnod1_0 = (1/2)*(abs(myabsdevnod0_0 - myabsdevnod0_1) + (myabsdevnod0_0 + myabsdevnod0_1)) myreldevnod1_0 = (1/2)*(abs(myreldevnod0_0 - myreldevnod0_1) + (myreldevnod0_0 + myreldevnod0_1)) myabsdevnod1_2 = (1/2)*(abs(myabsdevnod0_2 - myabsdevnod0_3) + (myabsdevnod0_2 + myabsdevnod0_3)) myreldevnod1_2 = (1/2)*(abs(myreldevnod0_2 - myreldevnod0_3) + (myreldevnod0_2 + myreldevnod0_3)) myabsdevnod1_4 = (1/2)*(abs(myabsdevnod0_4 - myabsdevnod0_5) + (myabsdevnod0_4 + myabsdevnod0_5)) myreldevnod1_4 = (1/2)*(abs(myreldevnod0_4 - myreldevnod0_5) + (myreldevnod0_4 + myreldevnod0_5)) myabsdevnod1_6 = (1/2)*(abs(myabsdevnod0_6 - myabsdevnod0_7) + (myabsdevnod0_6 + myabsdevnod0_7)) myreldevnod1_6 = (1/2)*(abs(myreldevnod0_6 - myreldevnod0_7) + (myreldevnod0_6 + myreldevnod0_7)) myabsdevnod1_8 = (1/2)*(abs(myabsdevnod0_8 - myabsdevnod0_9) + (myabsdevnod0_8 + myabsdevnod0_9)) myreldevnod1_8 = (1/2)*(abs(myreldevnod0_8 - myreldevnod0_9) + (myreldevnod0_8 + myreldevnod0_9)) myabsdevnod1_10 = (1/2)*(abs(myabsdevnod0_10 - myabsdevnod0_11) + (myabsdevnod0_10 + myabsdevnod0_11)) myreldevnod1_10 = (1/2)*(abs(myreldevnod0_10 - myreldevnod0_11) + (myreldevnod0_10 + myreldevnod0_11)) myabsdevnod1_12 = myabsdevnod0_12 myreldevnod1_12 = myreldevnod0_12 myabsdevnod2_0 = (1/2)*(abs(myabsdevnod1_0 - myabsdevnod1_2) + (myabsdevnod1_0 + myabsdevnod1_2)) myreldevnod2_0 = (1/2)*(abs(myreldevnod1_0 - myreldevnod1_2) + (myreldevnod1_0 + myreldevnod1_2)) myabsdevnod2_4 = (1/2)*(abs(myabsdevnod1_4 - myabsdevnod1_6) + (myabsdevnod1_4 + myabsdevnod1_6)) myreldevnod2_4 = (1/2)*(abs(myreldevnod1_4 - myreldevnod1_6) + (myreldevnod1_4 + myreldevnod1_6)) myabsdevnod2_8 = (1/2)*(abs(myabsdevnod1_8 - myabsdevnod1_10) + (myabsdevnod1_8 + myabsdevnod1_10)) myreldevnod2_8 = (1/2)*(abs(myreldevnod1_8 - myreldevnod1_10) + (myreldevnod1_8 + myreldevnod1_10)) myabsdevnod2_12 = myabsdevnod1_12 myreldevnod2_12 = myreldevnod1_12 myabsdevnod3_0 = (1/2)*(abs(myabsdevnod2_0 - myabsdevnod2_4) + (myabsdevnod2_0 + myabsdevnod2_4)) myreldevnod3_0 = (1/2)*(abs(myreldevnod2_0 - myreldevnod2_4) + (myreldevnod2_0 + myreldevnod2_4)) myabsdevnod3_8 = (1/2)*(abs(myabsdevnod2_8 - myabsdevnod2_12) + (myabsdevnod2_8 + myabsdevnod2_12)) myreldevnod3_8 = (1/2)*(abs(myreldevnod2_8 - myreldevnod2_12) + (myreldevnod2_8 + myreldevnod2_12)) myabsdevnod4_0 = (1/2)*(abs(myabsdevnod3_0 - myabsdevnod3_8) + (myabsdevnod3_0 + myabsdevnod3_8)) myreldevnod4_0 = (1/2)*(abs(myreldevnod3_0 - myreldevnod3_8) + (myreldevnod3_0 + myreldevnod3_8)) zmyabsdevmax = myabsdevnod4_0 zmyreldevmax = myreldevnod4_0 End Intermediates Equations obj = myminfun c_1 = 0 c_2 = 0 c_3 >= 0 c_4 >= 0 c_5 >= 0 c_6 >= 0 c_7 >= 0 c_8 >= 0 c_9 >= 0 c_10 >= 0 c_11 >= 0 c_12 >= 0 c_13 >= 0 c_14 >= 0 c_15 >= 0 c_16 >= 0 c_17 >= 0 c_18 >= 0 c_19 >= 0 End Equations End Model