CAJ | 학술논문

由薄板的基本方程出发,考虑粘弹性层与基板、约束层间的法向和切向相互作用力的影响,导出部分带状覆盖被动约束层阻尼（Passive Constrained Layer Damping,PCLD）板在两端简支另两端任意边界情况下的一阶常微分矩阵方程,方程的状态向量由4个独立的位移变量和内力变量组成,可方便地应用于位移和应力边界条件。同时,利用精细积分法和传递矩阵原理求解特征方程,计算了多种情况下PCLD板的固有频率和损耗因子。通过与参考文献结果相比,验证了本文方法的正确性。最后,分析了覆盖位置和覆盖率对结构减振特性的影响。
유박판적기본방정출발,고필점탄성층여기판、약속층간적법향화절향상호작용력적영향,도출부분대상복개피동약속층조니（Passive Constrained Layer Damping,PCLD）판재량단간지령량단임의변계정황하적일계상미분구진방정,방정적상태향량유4개독립적위이변량화내력변량조성,가방편지응용우위이화응력변계조건。동시,이용정세적분법화전체구진원리구해특정방정,계산료다충정황하PCLD판적고유빈솔화손모인자。통과여삼고문헌결과상비,험증료본문방법적정학성。최후,분석료복개위치화복개솔대결구감진특성적영향。
Based on the thin plate theory,considering the effect of the normal and tangential interaction between the viscoelastic layer and host plate,constrained layer,the integrated first order differential matrix equation of the sandwich rectangular plate with partially passive constrained layer damping treatment（PCLD） is obtained for the simply supported boundary condition in two opposite edges.The statement vector of the proposed equation is composed of four displacement and internal force components,which can be applied to either displacement or stress boundary condition.Meanwhile,the Eigen valve equation was solved by virtue of the precision integration approach and transfer matrix principle,and the nature frequencies and loss factors of the PCLD plate were also calculated under various conditions.The comparison with the document has verified the correctness of the proposed method.Lastly,the influence of the covering placement and covering percentage on the vibration suppression characteristic were analyzed.