Infinite systems in problems for a stiffened rectangular plate

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• 作者：M. F. Baburchenkov ; N. M. Borodachev
• 关键词：interaction mechanics ; stiffened rectangular plate ; infinite systems of equations
• 刊名：Mechanics of Solids
• 出版年：2016
• 出版时间：July 2016
• 年：2016
• 卷：51
• 期：4
• 页码：436-450
• 全文大小：634 KB
• 刊物类别：Physics and Astronomy
• 刊物主题：Physics
  Mechanics
  Russian Library of Science
  
• 出版者：Allerton Press, Inc. distributed exclusively by Springer Science+Business Media LLC
• ISSN：1934-7936
• 卷排序：51

文摘

A method is proposed for obtaining analytic solutions of a set of infinite systems of linear algebraic equations arising in problems of elasticity for stiffened rectangular plates with stiffening ribs. The method is based on a transformation of a set of infinite systems to a single system and on determining a majorant of the function generating the system series with regard to the order of the unknowns. It is proved that the constructed solution satisfies the infinite system for large indices of the unknowns. The amount of computations is decreased, and the reliability of the results increases. Some realization examples are given.