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首页> 外文期刊>International journal of mechanics and materials in design >Transient response of a sandwich beam with functionally graded porous core traversed by a non-uniformly distributed moving mass
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Transient response of a sandwich beam with functionally graded porous core traversed by a non-uniformly distributed moving mass

机译：用功能渐进的多孔芯的夹层梁的瞬态响应通过非均匀分布的移动质量横穿

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摘要

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-beta 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.
机译：本作本作的目的是开发一种高阶剪切可变形光束模型，并在通过非均匀分布的移动质量作用时研究夹层多孔束的瞬态响应。假设总质量分布在指定距离内并具有各种分布模式。夹层梁由两个功能分级（FG）面板和FG多孔芯组成。由于厚度方向上的孔隙率的连续变化，多孔芯的弹性模量被分级。开放式电池金属泡沫模型用于评估芯的质量密度。提出并实施了新的高阶剪切变形理论，以开发可靠且准确的模型，可以解决光束的振动响应。使用拉格朗日方法导出运动方程，而采用标准的纽马克 - β方法来解决时间依赖的响应。讨论了几个数值示例以研究各种夹心配置和不同类型的质量分布对夹层梁的振动行为的影响。结果表明，将质量分散到负荷的两端，以可行的程度适合于防止大动态偏转。

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