Calculation of Plane Bending Stability of Beams with Variable Stiffness

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• 作者：A.A. Karamisheva ; S.B. Yazyev ; A.A. Avakov ; ^{10-07-86@mail.ru" class="auth_mail" title="E-mail the corresponding author}
• 关键词：the stability of plane bending ; glulam beams ; Bubnov-Galerkin method ; the secular equation ; eigenvalues ; numerical and analytical methods.
• 刊名：Procedia Engineering
• 出版年：2016
• 出版时间：2016
• 年：2016
• 卷：150
• 期：Complete
• 页码：1872-1877
• 全文大小：563 K

文摘

The paper presents the technique of calculation of the stability of plane bending of glulam beams with a variable section. The solution was made with numerical and analytical means using the Bubnov-Galerkin method. The problem was reduced to a generalized secular equation. The calculations were made in the software package Matlab. The influence of variable rigidity on the critical load was investigated on the example of gable beams loaded by a concentrated force. We compared results with the formulas given in the design standards of wooden structures, as well as the results of A.A. Zhuravlev. It was found that the design standards give very low values of the reducing coefficient which leads to a waste of material. A refined calculation formula in the form of a polynomial with variable coefficients was proposed.