NS_BEg_tl

991 days ago by fresl

       
(P,q0,l,E,J,h)

                                
       
(a0,a1,a2,a3)

                                
       
x  a1x+a3cos(hxl)+a2sin(hxl)+a0+l2q0x22EJh2

                                
       
x  a2hcos(hxl)la3hsin(hxl)l+a1+l2q0xEJh2

                                
       
x  a3h2cos(hxl)l2a2h2sin(hxl)l2+l2q0EJh2

                                
       
a0+a3=0

                                
       
a1+a2hl=0

                                
       
a1l+a3cos(h)+a2sin(h)+a0+l4q02EJh2=0

                                
       
a2hcos(h)la3hsin(h)l+a1+l3q0EJh2=0

                                
       
[[a0=(hq0(cos(h)+1)2q0sin(h))l42(EJh4sin(h)(EJcos(h)2+EJsin(h)22EJcos(h)+EJ)h3),a1=(hq0sin(h)+2q0(cos(h)1))l32(EJh3sin(h)(EJcos(h)2+EJsin(h)22EJcos(h)+EJ)h2),a2=(hq0sin(h)+2q0(cos(h)1))l42(EJh4sin(h)(EJcos(h)2+EJsin(h)22EJcos(h)+EJ)h3),a3=(hq0(cos(h)+1)2q0sin(h))l42(EJh4sin(h)(EJcos(h)2+EJsin(h)22EJcos(h)+EJ)h3)]]

                                
       
a0=(hq0(cos(h)+1)2q0sin(h))l42(EJh4sin(h)(EJcos(h)2+EJsin(h)22EJcos(h)+EJ)h3)

                                
       
(hcos(h)+h2sin(h))l4q02(EJh4sin(h)+2EJh3cos(h)2EJh3)

                                
       
hcos(h)+h2sin(h)hsin(h)+2cos(h)2

                                
       
h2cos(2h2)+h2sin(2h2)h2sin(2h2)+cos(2h2)1

                                
       
cos(h2)sin(h2)

                                
       
l4q0cot(12h)2EJh3

                                
       
a1=(hq0sin(h)+2q0(cos(h)1))l32(EJh3sin(h)(EJcos(h)2+EJsin(h)22EJcos(h)+EJ)h2)

                                
       
l3q02EJh2

                                
       
a2=(hq0sin(h)+2q0(cos(h)1))l42(EJh4sin(h)(EJcos(h)2+EJsin(h)22EJcos(h)+EJ)h3)

                                
       
l4q02EJh3

                                
       
a3=(hq0(cos(h)+1)2q0sin(h))l42(EJh4sin(h)(EJcos(h)2+EJsin(h)22EJcos(h)+EJ)h3)

                                
       
(hcos(h)+h2sin(h))l4q02(EJh4sin(h)+2EJh3cos(h)2EJh3)

                                
       
l4q0cot(12h)2EJh3

                                
       
x  l4q0cos(hxl)cot(12h)2EJh3l3q0x2EJh2+l2q0x22EJh2l4q0cot(12h)2EJh3+l4q0sin(hxl)2EJh3

                                
       
x  lq0x2P+q0x22P+lq0cos(xPEJ)cot(12lPEJ)2EJ(PEJ)32lq0cot(12lPEJ)2EJ(PEJ)32+lq0sin(xPEJ)2EJ(PEJ)32

                                
       
x  920010cos(1910x)cot(51810)+1100x2920010cot(51810)+920010sin(1910x)120x

                                
       
0

                                
       
920010cos(0.55555555555555610)cot(51810)920010cot(51810)+920010sin(0.55555555555555610)

                                
       
1.38777878078145×1017

                                
       
920010cos(0.27777777777777810)cot(51810)920010cot(51810)+920010sin(0.27777777777777810)0.0625000000000000

                                
       
0.00435513114356019

                                
       
       
x  (a3h2cos(hxl)l2+a2h2sin(hxl)l2l2q0EJh2)EJ

                                
       
x  12(l2q0cos(hxl)cot(12h)EJh+l2q0sin(hxl)EJh2l2q0EJh2)EJ

                                
       
x  118010cos(1910x)cot(51810)118010sin(1910x)+150

                                
       
x  225210cos(1910x)cot(51810)+225210sin(1910x)405

                                
       
109.951752209348

                                
       
109.951752209348

                                
       
57.1860756495529

                                
       
       
       
(C0,C1,C2,C3)

                                
       
x  C0+q0xEJ

                                
       
x  C0x+C1+q0x22EJ

                                
       
x  12C0x2+C1x+q0x36EJ+C2

                                
       
x  16C0x3+12C1x2+q0x424EJ+C2x+C3

                                
       
       
x  l2q0x22lq0x3+q0x424EJ

                                
       
x  19720x41972x3+51944x2

                                
       
0.00401877572016461

                                
       
0.00435513114356019

                                
       
       
       
x  (l26lx+6x2)q012EJ

                                
       
x  1810x21162x+5972

                                
       
x  25x2+125x6256

                                
       
104.166666666667

                                
       
104.166666666667

                                
       
52.0833333333333