1) reciprocal theorem of works
功的互等
1.
The reciprocal theorem of works is first applied on the online monitoring of steam turbine differential expansion.
本文首次将弹性理论中功的互等定理应用于汽轮机胀差在线监测,提出了计算汽轮机转子以及汽缸轴向位移的新方法并确定了汽轮机各级胀差随时间的变化规律。
2) reciprocal theorem method
功的互等法
1.
It is showed that reciprocal theorem method is simply and effective to the problems of the bending of thick plate from the calculation and the numerical values.
给出了中厚板功的互等定理,并应用该定理得到均布载荷下两邻边简支另两边自由且有角支点支承厚矩形板弯曲的封闭解析解,计算与数值结果表明功的互等法是求解中厚板弯曲问题的一个简明有效的方法。
2.
In this paper,reciprocal theorem method(RTM) is generalized to solve the problem of bending of thick rectangular plates under hydrostatic pressure based on Reissner?s theory.
应用功的互等法(RTM)求解基于Reissner理论厚矩形板的弯曲问题,给出了对边简支另两边固定边界条件下厚矩形板在静水压力作用下弯曲的封闭解析解,并给出了该种情况下的曲线图。
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) equal law of work
功的互等定律
1.
Based on load distribution and transferring law under dead load,and applying double borderline transfer function and equal law of work,this paper concludes a set of simplified analytical recurrence formulas which define curve of axial load and settlement of piles in stratification foundation.
采用双折线荷载传递函数,根据桩在竖向静载下的荷载分布与传递规律,运用功的互等定律,导出了一组确定层状地基中桩的轴向荷载沉降曲线的解析简化递推算式,可根据桩侧介质的分布情况和桩的形状对桩进行沉降分析模拟,能较精确确定桩的轴向静载沉降曲线,同时推导了桩顶刚度系数的迭代公式,以此为基础可确定桩的承载力。
6) 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。
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