[1] Ie C A, Kosmatka J B. On the analysis of prismatic beams using first-order warping functions[J]. International Journal of Solids and Structures, 1992,29(7):879-891.
[2] Zu J W-Z. Han R P S. Dynamic response of a spinning Timoshenko beam with general boundary conditions and subjected to a moving load[J]. Journal of Applied Mechanics, 1994,61(1): 152-160.
[3] Wang C M, Lam K Y, He X Q, et al. Large deflection of an end supported beam subjected to a point load[J]. International Journal of Solids and Structures, 1997,32(1):63-72.
[4] Nayfeh Ali H, Perngjin F Pai. Non-linear non-planar parametric responses of an inextensional beam[J]. International Journal of Non-Linear Mechanics, 1989,24(2): 139-158.
[5] Gummadi L N B, Palazotto A N. Large strain analysis of beams and arches undergoing rotations[J].International Journal of Non-Linear Mechanics, 1998,33(4):615-645.
[6] William Paulsen H. Eigeafrequencies of curved Euler-Bernoulli beam structures with dissipative joints[J]. Quarterly of Applied Mathematics, 1995,53(2): 259-271.
[7] Washizu K. Some considerations on a naturally curved and twisted slender beam[J]. Journal of Mathematics and Physics, 1964,43(2): 111-116.
[8] Wiggins S. Introduction to Applied Nonlinear Dynamical System and Chaos[M]. New York:Springer-Verleg, 1990.
[9] Fenichel N. Persistence and smoothness of invariant manifold for flows[J]. Indiana Univ Math J, 1971, 21(2): 193-226.
[10] Timoshenko S,Goodier J N. Theory of Elasticity[M].New York:McGraw-Hill,1951.
[11] Timoshenko S. Vibration Problems in Engineering[M]. New York: Wiley, 1974. |