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.
应用拉氏乘子法，建立了一端固定、一端自由的自然弯曲细长梁动力分析的广义泛函。
The Lagranges multiplier method is applied in this paper to set up a generalized function of dynamic analysis of the natural curved slender beams which have one built-in end and one free end.
应用拉氏乘子法，建立了一端固定、一端自由的自然弯曲细长梁动力分析的广义泛函。
The Lagranges multiplier method is applied in this paper to set up a generalized function of dynamic analysis of the natural curved slender beams which have one built-in end and one free end.
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