| 非保守弹性动力系统两类变量的广义拟变分原理及其应用 |
| |
| 引用本文： | 宋海燕,梁立孚,刘殿魁.非保守弹性动力系统两类变量的广义拟变分原理及其应用[J].地震工程与工程振动,2005,25(4):24-30. |
| |
| 作者姓名： | 宋海燕 梁立孚 刘殿魁 |
| |
| 作者单位： | 哈尔滨工程大学,建筑工程学院,黑龙江,哈尔滨,150001 |
| |
| 基金项目： | 国家自然科学基金项目（10272034）;博士学科点专项科研基金项目（20010217003）;黑龙江省自然科学基金项目（A01-06）;哈尔滨工程大学基础研究基金项目（HEUF04003） |
| |
| 摘 要： | 按照广义力和广义位移之间的对应关系,将弹性动力学的各基本方程分别乘上相应的虚量,然后在相应的体积域和面积域上积分,将积分式代数相加,再将代数和在时间域上积分,代入本构关系,并考虑到体积力和面积力均为伴生力,进而建立了非保守弹性动力系统的第1类两类变量的广义拟变分原理;再应用类似的方法,通过代入另一类本构关系,建立了非保守弹性动力系统的第2类两类变量广义拟变分原理.应用第1类两类变量广义拟余能原理给出同时求解1个典型的非保守弹性动力系统的固有频率、变形和内力的计算方法.最后,讨论了有关问题.
|
| 关 键 词： | 非保守系统 弹性动力学 广义变分原理 两类变量 |
| 文章编号： | 1000-1301（2005）04-0024-07 |
| 收稿时间： | 2004-09-22 |
| 修稿时间： | 2004-09-222004-11-12 |
On generalized quasi-variational principles of two-kind of variables in non-conservative elastodynamic systems and their application |
| |
| Song Haiyan,LIANG Lifu,Liu Diankui.On generalized quasi-variational principles of two-kind of variables in non-conservative elastodynamic systems and their application[J].Earthquake Engineering and Engineering Vibration,2005,25(4):24-30. |
| |
| Authors: | Song Haiyan LIANG Lifu Liu Diankui |
| |
| Institution: | Civil Engineering School, Harbin Engineering University, Harbin 150001, China |
| |
| Abstract: | Considering that body forces and surface forces are the "fellow forces" according to corresponding relations between generalized forces and generalized displacements, the basic equations of elastodynamics are multiplied by corresponding virtual quantities, then they are integrated with respect to volume and area and the results are added up algebraically, and then the algebraic sum is integrated with respect to time. By substituting the constitutive correlation into the subsequent results, the generalized quasi-variational principles of the first two-kind of variables are established in non-conservative elastodynamic systems. By analogous to the method mentioned above and substituting another constitutive correlation, the generalized quasi-variational principles of the second two-kind of variables are established in non-conservative elastodynamic systems. Using the generalized quasi-complementary variational principle of the first two-kind of variables, the method for calculation of the natural frequency, the deformation and the internal force simultaneously is derived for a typical non-conservative system. Finally, some correlative problems are discussed. |
| |
| Keywords: | non-conservative systems elastodynamics generalized variational principle two-kind of variables |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
|
