This paper discusses the validity of (adaptive) Lagrange generalized plain finite element method (FEM) and plate element method for accurate analysis of acoustic waves in multi-layered piezoelectric structures with ti...This paper discusses the validity of (adaptive) Lagrange generalized plain finite element method (FEM) and plate element method for accurate analysis of acoustic waves in multi-layered piezoelectric structures with tiny interfaces between metal electrodes and surface mounted piezoelectric substrates. We have come to conclusion that the quantitative relationships between the acoustic and electric fields in a piezoelectric structure can be accurately determined through the proposed finite element methods. The higher-order Lagrange FEM proposed for dynamic piezoelectric computation is proved to be very accurate (prescribed relative error 0.02% - 0.04% ) and a great improvement in convergence accuracy over the higher order Mindlin plate element method for piezoelectric structural analysis due to the assumptions and corrections in the plate theories.The converged lagrange finite element methods are compared with the plate element methods and the computedresults are in good agreement with available exact and experimental data. The adaptive Lagrange finite elementmethods and a new FEA computer program developed for macro- and micro-scale analyses are reviewed, and recently extended with great potential to high-precision nano-scale analysis in this paper and the similarities between piezoelectric and seismic wave propagations in layered structures and plates are stressed.展开更多
表面组装技术(Surface Mount Technology,SMT)中,焊点是组装电路板的可靠性影响因素之一,而焊点的形态决定了其可靠性.文章应用Surface Evolver软件,采用有限元方法,以能量最小原理为理论依据,对表贴翼形引脚及焊点进行了三维模型的预测...表面组装技术(Surface Mount Technology,SMT)中,焊点是组装电路板的可靠性影响因素之一,而焊点的形态决定了其可靠性.文章应用Surface Evolver软件,采用有限元方法,以能量最小原理为理论依据,对表贴翼形引脚及焊点进行了三维模型的预测.选取无铅焊料作为焊点材料,通过建立初始模型,施加边界约束、体积约束、重力势能约束和表面势能约束,完成翼形引脚焊点三维形态预测.展开更多
文摘This paper discusses the validity of (adaptive) Lagrange generalized plain finite element method (FEM) and plate element method for accurate analysis of acoustic waves in multi-layered piezoelectric structures with tiny interfaces between metal electrodes and surface mounted piezoelectric substrates. We have come to conclusion that the quantitative relationships between the acoustic and electric fields in a piezoelectric structure can be accurately determined through the proposed finite element methods. The higher-order Lagrange FEM proposed for dynamic piezoelectric computation is proved to be very accurate (prescribed relative error 0.02% - 0.04% ) and a great improvement in convergence accuracy over the higher order Mindlin plate element method for piezoelectric structural analysis due to the assumptions and corrections in the plate theories.The converged lagrange finite element methods are compared with the plate element methods and the computedresults are in good agreement with available exact and experimental data. The adaptive Lagrange finite elementmethods and a new FEA computer program developed for macro- and micro-scale analyses are reviewed, and recently extended with great potential to high-precision nano-scale analysis in this paper and the similarities between piezoelectric and seismic wave propagations in layered structures and plates are stressed.
文摘表面组装技术(Surface Mount Technology,SMT)中,焊点是组装电路板的可靠性影响因素之一,而焊点的形态决定了其可靠性.文章应用Surface Evolver软件,采用有限元方法,以能量最小原理为理论依据,对表贴翼形引脚及焊点进行了三维模型的预测.选取无铅焊料作为焊点材料,通过建立初始模型,施加边界约束、体积约束、重力势能约束和表面势能约束,完成翼形引脚焊点三维形态预测.
