1) Betti's theorem of reciprocal works
功的互等的贝蒂定理
2) Betty's reciprocal theorem of work
贝蒂功互等定理
3) 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
4) 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
5) 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。
6) 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
补充资料：贝蒂，D.
英国海军元帅,伯爵。1884年参加海军。1896～1898年，参加入侵埃及和苏丹的战争。1900年，参加八国联军侵华战争。1910年，晋升为海军少将。1913年，任英海军战斗巡洋舰分舰队司令。第一次世界大战期间，在黑尔戈兰湾的袭击战中，有力地支援了突击舰队，击沉德舰4艘，英方无损失；在多格浅滩海面的拦截战中,率战列巡洋舰切断德舰队的退路，击沉德"布吕歇尔"号战列巡洋舰；在日德兰海战中，率先迎战德公海舰队。1916年12月，任英大舰队司令。1919～1927年，任海军大臣。
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