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基于动质量块和声激励共同作用下的各向同性矩形薄板动态响应分析 |
周志勇, 秦卫阳 |
西北工业大学力学与土木建筑学院,西安 710072 |
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Dynamicresponsesofthinrectangularisotropicplatesunderactionsofmovingmassandacousticexcitation |
ZHOUZhiyong,QINWeiyang |
SchoolofMechanics,Civil&Architecture,NorthwesternPolytechnicalUniversity,Xian710072,China |
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摘要 针对以往研究过程中忽略质量块惯性和声源激励对板动态响应的影响,在考虑质量块惯性对板的影响基础上,采用哈密顿原理和Kroneckeδ函数建立板在动质量块和声源激励共同作用下的运动微分方程,再采用模态变换将运动微分方程进行解耦,然后采用微分求积法(DQM)求解系统动态响应。数值算例结果表明:相比RungeKutta算法,取样网点较少时,DQM得到的动态响应值精度更高。动质量块的质量、移动速度和阻尼系数及声激励的声频和声强对矩形薄板的动态响应曲线具有明显的影响。
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关键词 :
动态响应,
边界条件,
动质量块,
DQM
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Abstract:Aimingatthatinthepaststudiestheeffectsofmassinertiaandsoundsourceexcitationondynamicresponsesofaplatewereignored,herethedifferentialequationsofmotionforaplateunderactionofmovingmassandsoundsourceexcitationwereestablishedusingHamiltonsprincipleandkroneckeδfunction.Thedifferentialequationsofmotionweredecoupledusingthemodaltransformation,thentheyweresolvedwiththedifferentialquadraturemethod(DQM).ThenumericalresultsshowedthatDQM hasahigheraccuracyforthedynamicresponsesoftheplatethanRungeKuttaalgorithmdoeswhenthenumberofgridpointsissmall;themovingmass,movingspeed,damping,andacousticexcitationfrequencyandintensityhavesignificantimpactsonthedynamicresponsesoftheplate.
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Key words:
dynamicresponse
boundaryconditions
movingmass
DQM
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出版日期: 2015-12-25
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