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Mixed Finite Volume Element Method for Vibration Equations of Beam with Structural Damping

Mixed Finite Volume Element Method for Vibration Equations of Beam with Structural Damping
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摘要 <span style="font-family:Verdana;">In this paper, for the initial and boundary value problem of beams with</span> <span style="font-family:Verdana;">structural damping, by introducing intermediate variables, the original </span><span style="font-family:Verdana;">fourth-order problem is transformed into second-order partial differential equations, and the mixed finite volume element scheme is constructed, and the existence, uniqueness and convergence of the scheme are analyzed</span><span style="font-family:Verdana;"><span style="font-family:Verdana;"><span style="font-family:Verdana;">.</span></span></span><span><span><span style="font-family:Verdana;"> Numerical examples are provided to confirm the theoretical results. In the end, we test the value of <em>δ</em></span><span style="font-family:Verdana;"> to observe its influence on the model.</span></span></span> <span style="font-family:Verdana;">In this paper, for the initial and boundary value problem of beams with</span> <span style="font-family:Verdana;">structural damping, by introducing intermediate variables, the original </span><span style="font-family:Verdana;">fourth-order problem is transformed into second-order partial differential equations, and the mixed finite volume element scheme is constructed, and the existence, uniqueness and convergence of the scheme are analyzed</span><span style="font-family:Verdana;"><span style="font-family:Verdana;"><span style="font-family:Verdana;">.</span></span></span><span><span><span style="font-family:Verdana;"> Numerical examples are provided to confirm the theoretical results. In the end, we test the value of <em>δ</em></span><span style="font-family:Verdana;"> to observe its influence on the model.</span></span></span>
作者 Tongxin Wang Ziwen Jiang Zhe Yin Tongxin Wang;Ziwen Jiang;Zhe Yin(College of Mathematics and Statistics, Shandong Normal University, Jinan, China)
出处 《American Journal of Computational Mathematics》 2021年第3期207-225,共19页 美国计算数学期刊(英文)
关键词 Vibration Equations Structural Damping Mixed Finite Volume Element Method Error Estimation Numerical Simulation Vibration Equations Structural Damping Mixed Finite Volume Element Method Error Estimation Numerical Simulation
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