Zhou Ding. An Approximate Solution with High Accuracy of Transverse Bending of Thin Rectangular Plates under Arbitrarily Distributed Loads[J]. Applied Mathematics and Mechanics, 1993, 14(3): 225-230.
Citation: Zhou Ding. An Approximate Solution with High Accuracy of Transverse Bending of Thin Rectangular Plates under Arbitrarily Distributed Loads[J]. Applied Mathematics and Mechanics, 1993, 14(3): 225-230.

An Approximate Solution with High Accuracy of Transverse Bending of Thin Rectangular Plates under Arbitrarily Distributed Loads

  • Received Date: 1989-04-03
  • Publish Date: 1993-03-15
  • Ritz method is an effective way widely used to analyze the transverse bending of thin rectangular plates.Its accuracy depends completely on the basis functions selected.This paper selects the superposition of sine series with polynomials as the basis functions of thin rectangular plates.The calculating formulae are not only simple and easily programmed,but also have high accuracy.Finally,two numerical results are given and compared with those obtained by the classical method.
  • loading
  • [1]
    张福范,《弹性薄板》,科学出版社(1963).
    [2]
    Timoshenko,S et al,《板壳理论》,科学出版社(1977).
    [3]
    张福范,两相邻边固定两相邻边自由的矩形板,固体力学学报,(4)(1981).
    [4]
    张福范,均布载荷作用下的悬臂矩形板的弯曲,应用数学和力学,1(3)(1980),349-362.
    [5]
    黄炎、杨原英,正交异性矩形板弯曲问题的解析解,上海力学,(1)(1986).
    [6]
    王磊、李家金,矩形薄板的近似解法—康托洛维奇一伽辽金法,应用数学和力学,7(1)(1986).
    [7]
    王磊,弹性薄板的样条梁函数解法,应用数学和力学,7(8)(1986).
    [8]
    许永林、唐锦春,域外奇点法格林公式法解板弯曲问题,计算结构力学及其应用,(2)(1986).
    [9]
    谢秀松,康托洛维奇一加权残数法,计算结构力学及其应用,(1)(1985).
    [10]
    钱伟长,《变分法与有限元》(上册),科学出版社(1980).
  • 加载中

Catalog

    通讯作者: 陈斌, bchen63@163.com
    • 1. 

      沈阳化工大学材料科学与工程学院 沈阳 110142

    1. 本站搜索
    2. 百度学术搜索
    3. 万方数据库搜索
    4. CNKI搜索

    Article Metrics

    Article views (1827) PDF downloads(629) Cited by()
    Proportional views
    Related

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return