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首页> 外文期刊>International journal of mechanics and materials in design >On vibration of sigmoid/symmetric functionally graded nonlocal strain gradient nanobeams under moving load
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On vibration of sigmoid/symmetric functionally graded nonlocal strain gradient nanobeams under moving load

机译：在移动载荷下旋转矩形/对称功能渐变非局部应变梯度纳米辐射的振动

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摘要

In the framework of nonlocal strain gradient theory, a size-dependent symmetric and sigmoid functionally graded (FG) Timoshenko beam model is developed to study and analyze the free vibration and dynamic response under moving load, for the first time. To incorporate the size-dependent effect, the nonlocal strain gradient theory is adopted. The Hamilton principle is employed to drive the dynamic equations of motion and the associated boundary conditions. Based on Navier's approach, an analytical solution methodology for free and forced vibration problems is developed. The developed methodology is verified by comparing the obtained results with the available resources and good agreement is observed. Numerical results are obtained and discussed. Effects of the material gradation index, nonlocal parameter, microstructure length scale parameter, and the nondimensional velocity parameter of the moving load on the dynamic behavior are investigated. It is found that these variables significantly affect the dynamic behavior of the functionally graded nanobeams, and they could be adjusted to control this behavior. Obtained results are supportive of the design and control of such types of structural components.
机译：在非本体应变梯度理论的框架中，开发了一种尺寸相关的对称和统计功能分级（FG）TIMOSHENKO光束模型，首次开发了在移动负载下进行的自由振动和动态响应。为了纳入依赖性效应，采用了非局部应变梯度理论。汉密尔顿原理用于驱动动态运动方程和相关边界条件。基于Navier的方法，开发了一种自由和强制振动问题的分析解决方法。通过将获得的结果与可用资源进行比较，并且观察到良好的协议，通过比较所产生的方法。获得并讨论了数值结果。研究了物料灰度指数，非局部参数，微观结构长度比例和移动负荷对动态行为的非潜力速度参数的影响。结果发现，这些变量显着影响了功能渐变的纳米辐射的动态行为，并且可以调整它们以控制这种行为。获得的结果是支持这些类型的结构组件的设计和控制。

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