REGULAR INTEGRAL EQUATIONS FOR THE SECOND BOUNDARY-VALUE PROBLEM OF THE BENDING OF AN ANISOTROPIC ELASTIC PLATE

Yu. A. Bogan

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REGULAR INTEGRAL EQUATIONS FOR THE SECOND BOUNDARY-VALUE PROBLEM OF THE BENDING OF AN ANISOTROPIC ELASTIC PLATE

机译：各向异性弹性板弯曲第二个边值问题的正整数方程

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摘要

Two systems of Fredholm equations of the second kind are constructed for the solution of the second boundary-value problem of the bending of an anisotropic plate (a normal bending moment and a generalized shear force are specified on the boundary of the simply-connected domain) under the assumption of validity of the Kirchhoff-Love hypotheses. Correct equilibrium conditions are specified for the examined boundary-value problem.

机译：为解决各向异性板弯曲的第二个边值问题，构造了两种第二种Fredholm方程组（在简单连接域的边界上指定了法向弯矩和广义剪力）在基尔霍夫-爱假设的有效性假设下。为检查的边值问题指定了正确的平衡条件。

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来源
《Journal of Applied Mechanics and Technical Physics》 |2005年第3期|p.395-404|共10页
作者
Yu. A. Bogan;
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作者单位

Lavrent'ev Institute of Hydrodynamics, Siberian Division, Russian Academy of Science, Novosibirsk 630090;

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原文格式 PDF
正文语种 eng
中图分类应用力学;
关键词
anisotropy; plate; fredholm equations of the second kind;

机译：各向异性;板;第二类Fredholm方程;

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专利

1. INVESTIGATION OF BENDING OF ANISOTROPIC PLATES WITH INCLUSIONS WITH THE HELP OF SINGULAR INTEGRAL EQUATIONS [J] . О. V. Maksymovych, Т. Ya. Solyar, Ya. Kempa Journal of Mathematical Sciences . 2021,第1期

机译：奇异整体方程的帮助调查夹杂物的夹杂物
2. On dual integral equations arising in problems of bending of anisotropic plates [J] . B. D.Aggarwala, C.Nasim International journal of mathematics and mathematical sciences . 1992,第3期

机译：关于各向异性板弯曲问题中产生的对偶积分方程
3. Weak solutions for time-dependent boundary integral equations associated with the bending of elastic plates under combined boundary data [J] . Chudinovich I, Constanda C, Gomez EA Mathematical Methods in the Applied Sciences . 2004,第7期

机译：组合边界数据下与弹性板弯曲相关的时变边界积分方程的弱解
4. Singular Integral Equations for the Bending Problems of Multiconnected Anisotropic Finite Plates [C] . V. N. Maksimenko, E. G. Podruzhin International Forum on Strategic Technology . 2006

机译：多连接各向异性有限平板弯曲问题的奇异积分方程
5. THE ANALYSIS OF PLATES ON ELASTIC FOUNDATION BY THE BOUNDARY INTEGRAL EQUATION METHOD. [D] . KATSIKADELIS, JOHN THEODORE. 1982

机译：边界积分方程法分析弹性地基板。
6. Linear Parabolic Differential Equations of Arbitrary Order; General Boundary-Value Problems for Elliptic Equations [O] . Felix E. Browder 1953

机译：任意阶线性抛物线方程椭圆方程的一般边值问题
7. On dual integral equations arising in problems of bending of anisotropic plates [O] . C. Nasim, B. D. Aggarwala 1992

机译：关于各向异性板弯曲问题中产生的对偶积分方程
8. On Linear Equations of Anisotropic Elastic Plates [R] . Yu, Y. Y. 1964

机译：关于各向异性弹性板的线性方程组

REGULAR INTEGRAL EQUATIONS FOR THE SECOND BOUNDARY-VALUE PROBLEM OF THE BENDING OF AN ANISOTROPIC ELASTIC PLATE

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