Fast variation method for elastic strip calculation

Biryukov S.V.

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Fast variation method for elastic strip calculation

机译：弹性带计算的快速变化方法

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A new, fast, variation method (FVM) for determining an elastic strip response to stresses arbitrarily distributed on the flat side of the strip is proposed. The remaining surface of the strip may have an arbitrary form, and it is free of stresses. The FVM, as well as the wellknown finite element method, starts with the variational principle. However, it does not use the meshing of the strip. A comparison of FVM results with the exact analytical solution in the special case of shear stresses and a rectangular strip demonstrates an excellent agreement.

机译：提出了一种新的快速变化方法（FVM），用于确定弹性条带对任意分布在条带平侧的应力的响应。条带的其余表面可以具有任意形式，并且没有应力。 FVM和众所周知的有限元方法都从变分原理开始。但是，它不使用带状网格。将FVM结果与在特殊情况下的剪切应力和矩形条的精确分析结果进行比较，可以得出很好的一致性。

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《IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control》 |2002年第5期|p.635-642|共8页
作者
Biryukov S.V.;
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正文语种 eng
中图分类声学工程;计量学;
关键词
acoustic impedance; acoustic wave scattering; boundary-value problems; elasticity; integro-differential equations; stress analysis; surface acoustic waves; variational techniques; IDT strip forms; arbitrarily distributed stresses; boundary conditions; convergence; d;

机译：声阻抗;声波散射;边界值问题;弹性;积分微分方程;应力分析;表面声波;变分技术;IDT条形;任意分布的应力;边界条件;收敛;d;

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Fast variation method for elastic strip calculation

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