[1]许琪楼..四边支承矩形板振形曲线及其正交性[J].郑州大学学报(工学版),2002,23(02):1-4.[doi:10.3969/j.issn.1671-6833.2002.02.001]
　XU Qilou..The four sides support the shape curve of the rectangular plate and its orthogonality[J].Journal of Zhengzhou University (Engineering Science),2002,23(02):1-4.[doi:10.3969/j.issn.1671-6833.2002.02.001]

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四边支承矩形板振形曲线及其正交性()

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《郑州大学学报(工学版)》[ISSN:1671-6833/CN:41-1339/T]

卷:

23

期数:

2002年02期

页码:

1-4

栏目:

出版日期:

1900-01-01

文章信息/Info

Title:

The four sides support the shape curve of the rectangular plate and its orthogonality

作者:

许琪楼.

郑州大学土木工程学院,河南,郑州,450002

Author(s):

XU Qilou.

关键词:

弹性薄板;  自由振动;  振形正交性

Keywords:

elastic sheets;  Free vibration;  Orthogonality of the shape of the shape

DOI:

10.3969/j.issn.1671-6833.2002.02.001

文献标志码:

A

摘要:

主振方向排序法认为,板的振形曲线中振动波形在主振方向上是唯一的,在另一方向上是不唯一的,由此建立了四边支承矩形板精确的振形曲线表达式.这种振形曲线可以满足振动微分方程和全部边界条件,还具有振形的正交性.通过推导证明了振形正交性的存在,阐明了主振方向排序法的物理含义,从理论上说明了该方法的正确性.

Abstract:

The main vibration direction ordering method believes that the vibration waveform in the vibration curve of the plate is unique in the main vibration direction and not unique in the other direction, so the accurate vibration curve expression of the four-sided supporting rectangular plate is established. This mode shape curve can satisfy the vibration differential equation and all boundary conditions, and also has the orthogonality of the mode shape. The existence of mode orthogonality is proved by derivation, the physical meaning of the principal oscillation direction ordering method is clarified, and the correctness of the method is theoretically explained.

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