用边界元法研究非保守力系下杆的稳定性

 本文采用边界元法,研究了完全弹性支持杆,在均布的和集中的跟随压力作用下的稳定性,给出了结构失稳的临界载荷和两种失稳形式（颤振失稳和发散失稳）的转变随边界条件变化的一般规律,以及加载方式（载荷分布情况）对临界载荷和失稳形式的影响,说明了边界元法对解决非保守稳定问题的有效性。

RESEARCH ON STABILITY OF RODS UNDER NONCONSERVATIVE LOADINGS BY BOUNDARY ELEMENT METHOD

This paper studies stability of elastically restrained rods under uniformly distributed and concentrated compressive follower forces by the aid of Boundary Eiement Method. For the critical loads and the transition between two stability patterns (flutter and divergence), a general variation rule due to boundary conditions or load distribution modes is given. Some conclusions which are useful for engineering design are obtained. Calculated results demonstrate validity of BEM for solving nonconserva-tive stability problems.