Exploring the nonlinear mechanical behaviors of structures under external excitation is significant. This article, for the first time, attempts to demonstrate the transient response of imperfect magneto-electro-elastic (MEE) cylindrical shells under pulse load in thermal environment by time history curves and phase trajectories. Using Love's thin shell theory and Maxwell's equations, expressions for displacement-, electric-, and magnetic- fields are obtained. Combining Hamiltonian principle and Galerkin method, the nonlinear dynamic equations of cylindrical shells are derived, and Runge-Kutta method is employed to solve the whole problem. Subsequently, the transient responses under various parameters including BaTiO vol fraction, geometric imperfection, electrical potential, magnetic potential, prestress, viscoelastic foundation, positive phase duration, damping coefficient, maximum blast load, geometrical parameter, temperature variation and various pulse loads are presented in numerical analysis in the forms of time history curves and phase trajectories. Finally, the conclusion advocates that the BaTiO vol fraction, geometric imperfection and dimensions of cylindrical shells have significant impacts on the transient response.

中文翻译：

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具有初始几何缺陷的磁电弹性圆柱壳的非线性瞬态响应

探索结构在外部激励下的非线性力学行为具有重要意义。本文首次尝试通过时程曲线和相轨迹来论证热环境中脉冲载荷下不完美磁电弹性（MEE）圆柱壳的瞬态响应。利用洛夫的薄壳理论和麦克斯韦方程组，可以获得位移、电场和磁场的表达式。结合哈密顿原理和伽辽金法，推导了圆柱壳的非线性动力学方程，并采用龙格-库塔法求解整个问题。随后，在各种参数下的瞬态响应，包括 BaTiO 体积分数、几何缺陷、电势、磁势、预应力、粘弹性基础、正相持续时间、阻尼系数、最大爆炸载荷、几何参数、温度变化和各种脉冲载荷，在以时程曲线和相轨迹形式进行数值分析。最后，结论认为BaTiO体积分数、几何缺陷和圆柱壳尺寸对瞬态响应有显着影响。