用功的互等定理求解矩形薄板的自然频率

陈玉骥

doi:10.6052/1000-0992-2001-105

陈玉骥. 用功的互等定理求解矩形薄板的自然频率[J]. 力学与实践, 2003, 25(1). DOI: 10.6052/1000-0992-2001-105

引用本文:

陈玉骥. 用功的互等定理求解矩形薄板的自然频率[J]. 力学与实践, 2003, 25(1). DOI: 10.6052/1000-0992-2001-105

TO DETERMINE THE NATURAL FREQUENCY OF SQUARE PLATES WITH THE RECIPROCAL THEOREM OF WORK[J]. MECHANICS IN ENGINEERING, 2003, 25(1). DOI: 10.6052/1000-0992-2001-105

Citation:

TO DETERMINE THE NATURAL FREQUENCY OF SQUARE PLATES WITH THE RECIPROCAL THEOREM OF WORK[J]. MECHANICS IN ENGINEERING, 2003, 25(1). DOI: 10.6052/1000-0992-2001-105

用功的互等定理求解矩形薄板的自然频率

陈玉骥

TO DETERMINE THE NATURAL FREQUENCY OF SQUARE PLATES WITH THE RECIPROCAL THEOREM OF WORK

摘要

摘要: 从虚功原理出发，证明了薄板小挠度弯曲问题的功的互等定理，并由此推出了求解矩形薄板自然频率的公式. 算例表明，该公式计算简便，精度较高.

Abstract: Using the virtual work principle, this paper proved the reciprocaltheorem of work of thin plates with small deflections, and obtained theformula of the naturalfrequency of square plates. The example showed that the formula wassimple and with high precisions.

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