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发表时间：2009-01-01

发表刊物：力学与实践

所属单位：能源与动力学院

卷号：31

期号：4

页面范围：32-36

ISSN号：1000-0879

摘要：The numerical difficulties in dealing with dynamic stiffness matrices
   for continuous Bernoulli-Euler beam and continuous Timoshenko beam are
   analyzed.The dynamic stiffness matrices of these two beam elements are
   obtained from their flexural vibration governing partial differential
   equations.The independent variables of hyperbolic functions in these
   dynamic stiffness matrices are expressed in several variables.A method
   for estimating the reasonable lengths of continuous beams is proposed.A
   cantilever beam is used as a numerical example.It is modeled with a
   single continuous Bernoulli-Euler beam element and a single continuous
   Timoshenko beam element,respectively.Dynamic responses of this beam are
   analyzed.It is found that when the reasonable sizes of continuous beams
   are adopted,the required natural frequencies of engineering structures
   may be obtained without numerical problems in dealing with dynamic
   stiffness matrices for continuous beams. This research may provide a
   theoretical reference for constructing engineering models by using
   continuous beam elements.

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