约束不足的杆、梁静变形的定性性质  

Oscillatory Properties in Static Deformation of the Continuous Systems of Under-constrained Rod and Beam

作　　者：王其申 王大钧[2] 何北昌 WANG Qishen;WANG Dajun;HE Beichang(School of Mathematics and Physics,Anqing Normal University,Anqing 246011,China;State Key Laboratory for Turbulence and Complex Systems,College of Engineering,Peking University,Beijing 100871,China;Consulting Seattle,WA,USA)

机构地区：[1]安庆师范大学数理学院,安徽安庆246133 [2]北京大学工学院湍流与复杂系统国家重点实验室,北京100871 [3]Consulting Seattle,WA,USA

出　　处：《安庆师范大学学报（自然科学版）》2021年第4期43-46,共4页Journal of Anqing Normal University(Natural Science Edition)

基　　金：安徽省自然科学基金(1808085MA05,1708085MA10)。

摘　　要：结构的静变形振荡性质不仅可以定性地描述结构在受到静力载荷作用时的几何构型,而且在阐明结构振动的定性性质方面有着重要的价值。基于以往的研究仅限于充分约束的杆和梁具有所谓的静变形振荡性质A和B,本文转而讨论工程中常见的约束不足情况下的杆和梁是否仍具有静变形振荡性质的问题,给出了在约束不足情况下静变形振荡性质的具体陈述,证明了常见的杆和梁的约束不足系统仍然具有静变形振荡性质A和B。The oscillatory properties in static deformation of structures can not only qualitatively describe the geometric configuration of the structure when subjected to static loads,but also have important value in clarifying the qualitative properties of structural vibration.Based on the previous research that the fully constrained rods and beams have the so-called static deformation oscillation properties A and B,the problem for the continuous systems of under-constrained rod and beam whether or not have oscillatory properties in static deformation is discussed in this paper.The concrete states of the oscillatory properties A and B in static deformation for under-constrained system are given.It is proved that the validity of the oscillatory properties A and B in static deformation for the continuous systems of under-constrained rod and beam.

关 键 词：杆和梁 约束不足的系统 静变形振荡性质 

分 类 号：O327[理学—一般力学与力学基础] O241.3[理学—力学]