The aim of the present work is to develop a high-order shear deformable beam model and investigate the transient response of a sandwich porous beam when acted upon by a non-uniformly distributed moving mass. It is assumed that the total mass is distributed within a specified distance and has various distribution patterns. The sandwich beam is composed of two functionally graded (FG) facesheets and an FG porous core. The modulus of elasticity of the porous core is graded owing to the continuously variation in porosity in the thickness direction. The open-cell metal foam model is used to evaluate the mass density of the core. A new high-order shear deformation theory is proposed and implemented to develop a reliable and accurate model that can address the vibration responses of the beam. The equations of motion are derived using the Lagrange method, whereas a standard Newmark-β method is employed to solve the time-dependent response. A few numerical examples are discussed to study the effects of various sandwich configurations and different types of mass distributions on the vibration behaviors of the sandwich beam. The results indicate that dispersing the mass toward the two ends of the load to the extent feasible is suitable for preventing large dynamic deflections.

本工作的目的是建立一个高阶剪切可变形梁模型，研究夹层多孔梁在受到非均匀分布的运动质量作用时的瞬态响应。假设总质量分布在指定距离内，并且具有各种分布模式。夹层梁由两个功能梯度（FG）面板和一个FG多孔芯组成。由于孔隙率在厚度方向上的连续变化，多孔核的弹性模量被分级。开孔金属泡沫模型用于评估芯的质量密度。提出并实施了一种新的高阶剪切变形理论，以开发可解决梁振动响应的可靠且准确的模型。运动方程式是使用Lagrange方法得出的，β方法用于解决时间相关的响应。讨论了一些数值示例，以研究各种夹心结构和不同类型的质量分布对夹心梁振动行为的影响。结果表明，在可行的范围内将质量分散到负载的两端很适合防止较大的动态挠度。