Application of the Laplace transform to the analysis of a mixed problem describing the vibrations of a compound rod

被引：0
作者：
A. M. Rogozhnikov
机构：
[1] Moscow State University,
来源：
Differential Equations | 2014年 / 50卷
关键词：
Boundary Control; LAPLACE Transform; Mixed Problem; Delay Operator; Longitudinal Vibration;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We suggest a method for finding a closed-form expression for the solution of the mixed problem on the vibrations excited in a compound rod by boundary conditions of the first, second, and third kind. The method uses the Laplace transform. We also suggest one possible numerical method for finding the solution.
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页码：88 / 97
页数：9
相关论文
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[1]  
Rogozhnikov AM(2012)Investigation of a Mixed Problem Describing the Vibrations of a Rod Consisting of Several Segments with Arbitrary Lengths Dokl. Akad. Nauk 444 488-491
[2]  
Il’in VA(2000)Boundary Control of Vibrations on Two Ends in Terms of the Generalized Solution of the Wave Equation with Finite Energy Differ. Uravn. 36 1513-1528
[3]  
Rogozhnikov AM(2011)Investigation of a Mixed Problem Describing the Vibrations of a Rod Consisting of Several Parts with Equal Wave Travel Times Dokl. Akad. Nauk 441 449-451
[4]  
Moiseev EI(2007)On the Wave Process with a Finite Energy for a Given Boundary Mode at One Endpoint and an Elastic Fixing at the Other Nonlinear Dynam. 5 141-148
[5]  
Tikhomirov VV(2007)Optimization of Boundary Control Produced by a Third Boundary Condition Dokl. Akad. Nauk 417 743-745
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[8]  
Il’in VA(2012)Mixed Problems for the Equation of the Longitudinal Vibrations of an Inhomogeneous Rod Consisting of Two Segments with Different Densities and Elasticities with a Free or Fixed Endpoint Dokl. Akad. Nauk 442 451-454
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