平面曲杆的广义变分原理

1. 引言本文应用Lagfange乘子法,建立了两端边界均为完全约束的地下拱形结构动力分析的广义泛函(15);对于地面拱形结构的广义泛函,只要去掉广义泛函(15)中的抗力项即可;此外,还可以很简便地推广到各种不完全约束边界的情况中。对于非保守体系的各种情况,我们考虑了非保守力,给出了非保守体系的广义变分原理。同时在弹塑性分析中也是适用的。另外还给出了地下拱形结构静力分析的广义变分泛函(22)。     

Fundamental of dynamical analysis of the blast-resistant underground structures

In this paper,the generalized variational principle of dynamic analysis for the blast-resistant underground structures is established,and the corresponding generalized functional of elastoplastic analysis for underground structures is derived,and the generalized variational principle of nonconservative system is given,thus the fundamental of dynamical analysis for underground structures to resist blast is proposed.Finally,for the underground cylindrical structure to resist blast,dynamical calculations are made,and compared with the test results.     

连续介质中杆件系统的振动问题

弹性连续介质中杆件系统的振动问题,是工程中经常遇到的,这是弹性动力学和结构动力学的混合求解问题。按照一般的方法进行求解,似乎有很多困难,且很复杂。本文采用Lagrange乘子法,给出了这种类型平面问题的广义泛函。并通过实例说明本文方法的应用。     

The vibration problem of rod system in the continuous elastic medium

The vibration of rod system in the elastic continuous medium is a problem which is often met and also a composite solution problem of elastic dynamics and structural dynamics. It seems rather difficult and complex to find solutions by general method. Using Lagrangian method of multipliers, we give here the generalized functionals concerning this kind of plane problem and show how to apply the method presented through examples.     

THE VIBRATION PROBLEM OF ROD SYSTEM IN THE CONTINUOUS ELASTIC MEDIUM

The vibration of rod system in the elastic continuous medium is a problem which is often met and also a composite solution problem of elastic dynamics and structural dynamics. It seems rather difficult and complex to find solutions by general method.Using Lagrangian method of multipliers, we give herethe generalized functionals concerning this kind of plane problem and show how to apply the method presented through examples.