Citation: | Tang Shou-gao, Yuan Si. The Vibration and Stability Analysis of Moderate Thick Plates by the Method of Lines[J]. Applied Mathematics and Mechanics, 1992, 13(6): 505-513. |
[1] |
胡海昌,《弹性力学的变分原理及其应用》,科学出版社,北京(1981).
|
[2] |
Ascher,U.and R.D.Russell,Reformulation of boundary value problems into standard form,SIAM Rev.,23(1981),238-254.
|
[3] |
唐寿高,薄板的振动问题的线法,江西工业大学学报.13(2)(1991),273-279.
|
[4] |
Liskovets,O.A.,The method of lines(Review),Differential Equations,1(1965),1308-1323..
|
[5] |
Xanthis,L.S.,The numerical method of lines and ODE solvers can provide a new powerful computational fracture mechanics tool,Int.Conference on Computational Mechanics,Tokyo,Japan(1986).
|
[6] |
Ascher,U.,J.Christianscn and R.D.Russell,Collocation software for boundary-value ODEs,ACE Trans.Math.Software,7,2(1981),209-222.
|
[7] |
Ascher,U.,J.Christiansen and R.D.Russell,Algorithm 569,COLSYS:collocation software for boundary-value ODEs D2,ACM Trans.Math.Software,7,2(1981),223-229.
|
[8] |
Bader,G.and U.Ascher,A new basis implementation for a mixed order boundary value ODE solver,SIAM J.Sci.Stat.Comput.,8(1987),483-500.
|
[9] |
中科院力学所,《夹层板壳的弯曲、稳定和振动》,科学出版社,北京(1977).
|
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