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首页> 外文会议>Annual Symposium on Quantitative Nondestructive Evaluation; 19980719-24; Snowbird,UT(US) >ELASTIC RESPONSE OF A THICK ISOTROPIC CYLINDER TO AN ARBITRARY PRESSURE APPLIED AT ONE END
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ELASTIC RESPONSE OF A THICK ISOTROPIC CYLINDER TO AN ARBITRARY PRESSURE APPLIED AT ONE END

机译：厚各向同性圆柱体对一端施加的任意压力的弹性响应

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Recently, a method was proposed for solving the pure end condition problem of a semi-infinite elastic cylinder. This has been a long standing problem in the dynamic theory of linear elasticity. The method employed decomposed the pure end condition problem into two mixed end condition problems then superposed their solutions. On each of the mixed end condition problems a double transform technique is used then inverted asymptotically. An alternate implementation of the double transform solution is presented for the problem previously solved. The method can then be extended to solve the pure end condition problem. Our implementation will not use asymptotic methods for inversion of the integral transforms. This removes the restriction on the existing solutions that acceptable errors are reached only beyond 10-20 diameters along the length of the cylinder. Thus, the method is more suitable for thick cylinders where measurments must be taken much closer to the end of the cylinder.
机译：最近，提出了一种用于解决半无限弹性圆柱的纯端部状态问题的方法。这一直是线性弹性动力学理论中长期存在的问题。所采用的方法将纯末端条件问题分解为两个混合末端条件问题，然后叠加它们的解。在每个混合结束条件问题上，都使用了双重变换技术，然后渐近地对其进行了反转。针对先前解决的问题，提出了双变换解决方案的另一种实现方式。然后可以扩展该方法以解决纯粹的最终条件问题。我们的实现将不会使用渐近方法对积分变换进行求逆。这消除了对现有解决方案的限制，即沿着圆柱体的长度仅在超过10-20个直径时才达到可接受的误差。因此，该方法更适合于厚圆柱体，在这种情况下，必须将测量距离圆柱体的末端更近一些。

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