A FREE RECTANGULAR PLATE ON ELASTIC FOUNDATION

被引：3
|
作者：
张福范
黄晓梅
机构：
[1] Beijing
[2] Tsinghua University
来源：
Applied Mathematics and Mechanics(English Edition) | 1984年 / 03期
关键词：
load; A FREE RECTANGULAR PLATE ON ELASTIC FOUNDATION; 土工; IO; DI;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In the theory of elastic thin plates, the bending of a rectangular plate on the elastic foundation is also a difficult problem. This paper provides a rigorous solution by the method of superposition. It satisfies the differential equation, the boundary conditions of the edges and the free corners. Thus we are led to a system of infinite simultaneous equations. The problem solved is for a plate with a concentrated load at its center. The reactive forces from the foundation should be made to be in equilibrium with the concentrated force to see whether our calculation is correct or not.
引用
收藏
页码：1317 / 1324
页数：8
相关论文
共 50 条
  • [21] THERMAL BENDING OF A THIN ELASTIC SIMPLY SUPPORTED RECTANGULAR PLATE RESTING ON AN ELASTIC FOUNDATION
    MISRA, JC
    PURE AND APPLIED GEOPHYSICS, 1974, 112 (01) : 83 - 89
  • [22] STATIC AND DYNAMIC BUCKLING OF A COMPRESSED NARROW RECTANGULAR PLATE ON AN ELASTIC FOUNDATION
    Srubshchik, Leonid
    Herskowitz, Isaac
    Peckel, Irina
    Potetyunko, Edward
    IMECE 2008: MECHANICAL SYSTEMS AND CONTROL, VOL 11, 2009, : 349 - 356
  • [23] An analytical framework for rectangular FGM tapered plate resting on the elastic foundation
    Kumar, V.
    Singh, S. J.
    Saran, V. H.
    Harsha, S. P.
    MATERIALS TODAY-PROCEEDINGS, 2020, 28 : 1719 - 1726
  • [24] Optimal excitation of a rectangular plate resting on an elastic foundation by a piezoelectric actuator
    Yang, Yaowen
    Zhang, Lei
    SMART MATERIALS AND STRUCTURES, 2006, 15 (04) : 1063 - 1078
  • [25] Primary parametric resonance of thin rectangular plate on nonlinear elastic foundation
    Yang Zhi-an
    Zhao Xue-juan
    Xi Xiao-yan
    ROCK AND SOIL MECHANICS, 2005, 26 (12) : 1921 - 1925
  • [26] Analytical solution of the bending problem of free orthotropic rectangular thin plate on two-parameter elastic foundation
    Bai, Eburilitu
    Zhang, Chunling
    Chen, Alatancang
    Su, Xin
    ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, 2021, 101 (10):
  • [27] Nonlinear free vibration analysis including coupled effect of elastic foundation for rectangular moderate thickness plate with discontinuities
    Xiao, Yang-Gang
    Fu, Yi-Ming
    Zhendong Gongcheng Xuebao/Journal of Vibration Engineering, 2006, 19 (02): : 161 - 167
  • [28] Free Vibration Analysis of The Moderately Thick Laminated Composite Rectangular Plate on Two-Parameter Elastic Foundation with Elastic Boundary Conditions
    Zhang, H.
    Shi, D. Y.
    Wang, Q. S.
    IV SINO-RUSSIAN ASRTU SYMPOSIUM ON ADVANCED MATERIALS AND PROCESSING TECHNOLOGY, 2016, 2016 : 190 - 193
  • [29] Nonlinear Forced Vibration Analysis for Thin Rectangular Plate on Nonlinear Elastic Foundation
    Xiao, Yonggang
    Yang, Cuiping
    Hu, Hui
    PROGRESS IN INDUSTRIAL AND CIVIL ENGINEERING, PTS. 1-5, 2012, 204-208 : 4716 - 4721
  • [30] THERMALLY INDUCED VIBRATIONS OF ORTHOTROPIC RECTANGULAR PLATE RESTING ON ELASTIC-FOUNDATION
    BISWAS, P
    PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES SECTION A, 1977, 85 (03): : 125 - 130
12345