任意载荷下波纹圆板大挠度弹性特征的级数解法

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Series Soution for Elastic Behavior of Corrugted Circular Plates in Large Deflection under Arbitrary Loads

摘要: 本文以正交异性板理论为基础,提出了一种波纹圆板非线性弯曲的Chebyshev级数解法,推导出具有中心平台的波纹圆板在任意轴对称载荷作用下的弹性特征方程.文中计算了几个典型的特例,数值结果表明,本文的方法对目前常用的方法有一定的改进和推广.

Abstract: Chebyshev polynomials are used to solve the problem of large deflection for corrugated circular plates with a plane central region under arbitrary loads based on the nonlinear bending theory of anisotropic circular plates. Numerical results are compared with those available in the literature. The present method shows higher accuracies and larger application ranges.

[1]	Фоодосеъв В.И.,《精密仪器弹性元件的理论与计算》,科学出版社,北京(1963).
[2]	陈山林,浅正弦波纹圆板在均布载荷下的大侥度弹性特征,应用数学和力学,12 (1980), 261-272.
[3]	Андрееаа Л.Е.,Уnруuе Зрuбороб,Москва(1962)
[4]	刘人怀,波纹圆板的特征关系式,力学学报,7 (1978), 47-52.
[5]	刘人怀,具有光滑中心的波纹圆板的特征关系式,中国科学技术大学学报,9,2 (1979),76-86.
[6]	Liu, R.H., Large deflection of corrugated circular plate with a plane central region under the action of concentrated loads at the center, Int. J. Non-Linear Mech., 19, 5 (1984), 409-419.
[7]	Liu, R.H., Large deflection of corrugated circular plate with plane boundary region, Solid Mechanics Archives, 9, 4 (1984), 383-405.
[8]	张其浩,波纹圆板的特征关系的研讨,力学与实践,2, 3 (1980), 64-66.
[9]	Fox, L. and I.B. Parker, Chebyshev Polynomials in Numerical Analysis, Oxford University Press, London (1968).
[10]	Jaff, N.A. and J. Thomas, Application of quasi-linearization and Chebyshev series to the numerical analysis of the laminar boundary-layer equations, AIAA J., 8, 3 (1970), 483-490.
[11]	Alwar, R.S. and Y. Nath, Application of Chebyshev Polynomials to the nonlinear analysis of circular plates, Int. J. Mech. Sci., 18, 11-12 (1976), 589-595.

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