The semi-analytical modeling and vibration reduction analysis of the cylindrical shell with piezoelectric shunt damping patches

By considering electromechanical coupling, a unified dynamic model of the cylindrical shell with the piezoelectric shunt damping patch(PSDP) is created. The model is universal and can simulate the vibration characteristic of the shell under different states including the states in which PSDP cannot be connected, partially connected, and completely connected to the shunt circuit. The equivalent loss factor and elastic modulus with frequency dependence are proposed to consider the electrical damping effect of resistance shunt circuits. Moreover, the semi-analytical dynamic equation of the cylindrical shell with PSDP is derived by the Lagrange equation. An experimental test is carried out on the cylindrical shell with PSDP to verify the vibration suppression ability of PSDP on the cylindrical shell and the correctness of the proposed model. Furthermore, the parameter analysis shows that determining the appropriate resistance value in the shunt circuit can achieve a good vibration suppression effect.

政府补贴机制下供应链成员社会责任捐赠决策分析

社会责任捐赠作为企业体现社会责任的一种重要形式,正日益普及并受到越来越多的关注。鼓励企业履行社会责任,改善社会福利,是一项重要课题。近年来,企业通过责任捐赠活动展现社会责任已成为一种流行趋势。在此背景下,本文建立了一个三阶段的Stackelberg博弈模型来探究政府补贴对零售商主导的供应链最优捐赠决策问题的影响。结果表明零售企业为了取得更好的销售业绩,往往会选择实施责任捐赠活动,但并不是责任捐赠越多,销售业绩就越好。在没有政府补贴的情况下,当供应链成员实现利润最大化时,社会福利并不是最优的,利润最大化目标下的捐赠水平总是低于社会福利最大化下的捐赠水平。为此,提出了一个最优补贴率,以消除捐赠差距,使社会福利最大化。本研究表明政府补贴可以促进供应链成员提高责任捐赠水平,同时改善供应链的绩效和社会福利。此外,还分析了成本参数和消费者企业责任偏好对均衡结果的影响。我们的研究为集中决策的企业和监管者提供了社会责任捐赠决策方面的管理见解。