1) modified theorem of reciprocal works
修正的功的互等定理
1.
On the bais of analysis of the two problems, modified theorem of reciprocal works and its application are given.
本研究发现,功的互等的贝蒂定理存在着非同一性和局限性两个问题,对这两个问题进行了分析,给出了修正的功的互等定理及其应用。
2) reciprocal theorem of work
功的互等定理
1.
Based on reciprocal theorem of work,using physical property of four-joint shell element rigidity matrix and concept of structural inner force influence field,a practical calculating method was deduced to calculate inner force influence field of thin-wall box girder and feasibility of the method was verified.
根据功的互等定理,利用四节点壳体单元刚度矩阵的物理特性以及结构内力(应力)影响面的概念,推导出薄壁箱梁结构指定截面内力(应力)影响面的实用计算方法,并通过算例验证了该方法的可行性。
2.
In this paper, a new proof of the mean value theorem of three dimensional elastodynamics is given by constructing a set of special solutions and applying the reciprocal theorem of work.
通过构造一组特解并运用功的互等定理给出了三维弹性动力学中值定理的新证
3) reciprocal theorem
功的互等定理
1.
Calculation of thick rectangular plate by reciprocal theorem;
应用功的互等定理求解一种厚矩形板的弯曲
2.
The application of reciprocal theorem with large deflections in the calculation of a rectangular plate with three edges simpy supported and the other fixed;
应用大挠度薄板功的互等定理求解三边简支一边固定矩形板的挠曲方程
3.
Application of reciprocal theorem with large deflections in calculation of rectangular plate with four edges simply support;
应用大挠度薄板功的互等定理求解四边简支矩形板的挠曲方程
4) the reciprocal theorem
功的互等定理
1.
Tthe reciprocal theorem is applied to research on the bending problem of set squares with simple support, clamped and support free edge under a concentrated load acting at any point, and the accurate solution of this problem is given.
应用功的互等定理研究了在一集中载何作用下简支、固定和自由混合支撑的三角形板的弯曲问题，给出了该问题的解析解。
2.
in this paper, the reciprocal theorem is applied tO researchon the bending problem of set square with three clamped edges undera concentrated load acting at any of its POints, the accuracy solutionof this problem is given.
应用功的互等定理研究了在一集中载荷作用下三边固定三角形板的弯曲问题，给出了该问题的精确解。
3.
In this paper,the reciprocal theorem is applied to research on into the bending problem of set squrare with three clamped edges under a concentrated bending moment acting at any of its points, and the accurate solution of this problem is given.
应用功的互等定理研究了在一集中弯矩作用下三边固定三角形板的弯曲问题，给出了该问题的精确解。
5) reciprocal theorem method
功的互等定理法
1.
In this paper,reciprocal theorem method(RTM) is generalized to solve the problem of bending of thick rectangular plates under uniformly distributed load based on Reissner s theory.
在本文中,功的互等定理法(RTM)被推广应用于求解基于Reissner理论的厚矩形板的弯曲问题,给出了三边简支一边固定厚矩形板在均布载荷作用下弯曲的精确解析解,并分析了解的数值结果。
2.
the reciprocal theorem method (RTM) and the superposition method are extended to deal with a bending thick rectangular plate with four free edges on an elastic foundation under a concentrated load.
Reissner厚板理论基础上,利用功的互等定理法和迭加法求解了集中载荷作用下,弹性地基上四边自由厚矩形板的弯曲问题,得到了完全一致的解析解。
3.
In this paper,reciprocal theorem method(RTM) is generalized to solve the problems for the forced vibration of thick rectangular plates based on the Reissner s theory.
本文将功的互等定理法（ＲＴＭ）推广应用于求解基于Ｒｅｉｓｓｎｅｒ理论的厚矩形板受迫振动问题·本文导出了厚矩形板动力基本解；给出了三边固定一边自由厚矩形板在均布简谐干挠力作用下稳态响应的精确解析解·这是计算厚矩形板受振动稳态响应的一个简便通用的方法
6) reciprocal theorem
功的互等定理法
1.
The method of reciprocal theorem is extended to find common probable solutions of plane problems of elasticity of the rectangular plate with various edge conditions.
用推广功的互等定理法，给出了求解复杂边界条件矩形板的弹性力学平面问题的一般近似解，并给出了计算实
2.
he method of the reciprocal theorem(RTM)is applied to solve thebending of the rectangular plates with every edges arbitrary a point supportedunder uniform loads.
本文应用功的互等定理法（ＲＴＭ）求解在约布荷载作用下每一边任一点被支承的矩形板的弯曲、给出了其精确解及有实用价值的数值图表。
补充资料：功的互等定理
弹性力学中的一个定理，又称互等功定理，是意大利的E.贝蒂于1872年和英国的瑞利于1873年分别独立提出的,故又称贝蒂-瑞利互等功定理。它可叙述为：如在某线性弹性体上作用两组广义力，则第一组力在第二组力引起的位移上所作的功，等于第二组力在第一组力引起的位移上所作的功。这一定理适用于线弹性体小变形的情况。若上述两组广义力都只包含一个广义力且彼此相等，此定理即化为位移互等定理。
参考书目
J. T. Oden, Mechanics of Elastic Structures, McGraw-Hill, New York,1967.
华东水利学院结构力学教研组编：《结构力学》，上册，水利出版社，北京，1981。
参考书目
J. T. Oden, Mechanics of Elastic Structures, McGraw-Hill, New York,1967.
华东水利学院结构力学教研组编：《结构力学》，上册，水利出版社，北京，1981。
说明：补充资料仅用于学习参考，请勿用于其它任何用途。
参考词条