从能量泛函出发，通过引入高阶动态位移模式，导出了杆、梁、框架结构动态有限元列式，建立了杆梁动态有限单元。
Based on energy functionals and with the inclusion of high order dynamic displacement modes, the finite dynamic element formulation for bar and beam is developed.
提出了以卷积形式表示的梁-柱弯曲问题的泛函，并给出了损伤粘弹性梁-柱的广义变分原理。
The convolution type functional was offered for the bending of viscoelastic beam column with damage and the generalized variational principle of viscoelastic beam column with damage was presented.
从卷积型变分原理的泛函出发，通过分析泛函中的各项，推导出求解动力响应问题的时-空有限元法，并将其应用于梁的动力问题中。
Based on Gurtin type variational principle a finite element method for initial value problems is presented by functional analysis. It is used for problems of beams dynamics.
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