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Title of Journal: Acta Mech

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Abbravation: Acta Mechanica

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Springer Vienna

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DOI

10.1016/0020-7292(93)90740-n

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1619-6937

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Free vibration analysis of variable thickness thin

Authors: Shabnam Jandaghi Semnani Reza Attarnejad Rahmat Kazemi Firouzjaei
Publish Date: 2013/03/10
Volume: 224, Issue: 8, Pages: 1643-1658
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Abstract

This paper aims at extending the application of twodimensional differential transform method 2DDTM to study the free vibration of thin plates with arbitrarily varying thickness First the differential equation of motion governing thin plates with varying thickness is derived using Hamilton’s principle Afterward the 2DDTM a numerical method which is capable of reducing the size of computational work and can be applied to various types of differential equations has been applied to derive the natural frequencies of variable thickness thin plates with different boundary conditions Several numerical examples have been carried out to demonstrate the applicability and accuracy of the present method in free vibration analysis of both uniform plates and plates with variable thickness

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