1) theorem on dynamic mutual equality
动力互等定理
2) shear stress mutual equal theory
剪应力互等定理
1.
Application of shear stress mutual equal theory in RCC gravity dam stess calculatioon;
剪应力互等定理在碾压混凝土重力坝应力计算中的应用
3) reciprocal theorem
互等定理
1.
The reciprocal theorem is used to make research on the bending of a set square with free hypotenuse under a concentrated load acting at any of its points, and its accurate solution is given.
应用功的互等定理研究了在一集中载荷作用下斜边自由的三角形板的弯曲问题，给出了该问题的精确解。
2.
But the energy principles in dynamic theory of piezoelectric materials with voids, which the principle of virtual work, the reciprocal theorem and various variational principles are not yet established systematic.
从该式出发，不仅能得到微孔压电弹性动力学的虚功原理和互等定理，而且通过作者所给出的一系列广义Ｌｅｇｅｎｄｒｅ变换，能系统地导出成互补关系的１１类变量、９类变量、６类变量和３类变量简化Ｇｕｒｔｉｎ型变分原理的泛函。
3.
Based on this relation, it is possible not only to obtain the principle of virtual work and the reciprocal theorem in dyn.
然后从该式出发，不仅可以得到有孔隙的耦合热弹性体动力学的虚功原理和互等定理，而且能系统地导出成互补关系的１１类变量、９类交量、６类变量及３类变量简化Ｇｕｒｔｉｎ型变分原理。
4) the reciprocal theorem of work
互等功定理
1.
By using Laplace transformation and the reciprocal theorem of work,the analytical solution is achieved.
建立了冲击荷载作用下双参数粘弹性地基上四边弹性嵌固矩形板的一种新型力学模型,利用Laplace变换,变分原理及互等功定理求解了该系统的位移解析解,并进一步讨论了地基参数和弹性支撑刚性系数对板的位移的影响。
2.
By using variational principle,Laplace transformation and the reciprocal theorem of work,the displacement analytic solution of the system was achieved.
利用变分原理、Laplace变换和互等功定理求解了该系统的位移解析解,计算了弹性地基和粘弹性地基上有限矩形板的动力响应,探讨了地基参数和弹性嵌固边界刚性系数对板的动态响应的影响。
5) Betti-Rayleigh dynamic reciprocal theorem
Betti-Rayleigh动力互易定理
1.
Based on the Betti-Rayleigh dynamic reciprocal theorem,the reciprocal property of the Green function is demonstrated;and the analytical solution of soil vibration subjected to moving loads is deduced.
基于Betti-Rayleigh动力互易定理,论证了地基土Green函数的互易性,推导了移动荷载引起的地基土振动解析解,进而推证出移动常力荷载和移动简谐荷载作用下地基土表面振动在波数-频率域内和空间-时间域内的解析表达式,并采用Matlab对其进行数值计算。
6) 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
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