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Dynamic properties and damping predictions for laminated micro-beams by different boundary conditions

机译：不同边界条件的层压微束的动态特性和阻尼预测

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During a few last decades importance of research of mechanical properties of thin plates of micro- or nano-dimension is multiplied due to their application in mikro electromechanics systems (MEMS) and nano electromechanics systems (NEMS). It is known that a surface of solid is a region with the thickness of a few atomic diameters, which have its own atomic structure and property which differs from a bulk. For a large solid with, because correlation of volume of external region to mass be small can ignore external effects. However, for small solids with large surface mass ratio effects grows. The main goal of this study is to predict the elastic and damping properties of composite laminated plates by various boundary conditions, simulating MEMS. This problem has an exact solution of the elasticity for simple homogeneous bends and conditions of lateral loading. This paper presents a new method for stress analysis for the accurate determination of detailed stress distributions in multilayer plates subjected to cylindrical bending. Here are some approximate methods for predicting the stress state for laminated plates. This method is adaptive and is not based on strict assumptions about the plate model. The described theoretical model includes the deformations of each layer of the plate, which take into account the effects of deformation of the transverse shear, transverse normal deformation, and nonlinear displacement changes with respect to the coordinate of thickness.
机译：在过去几十年内，由于其在Mikro机电系统（MEMS）和纳米机电系统（NEM）中的应用，增加了微型或纳米尺寸薄板的力学性能研究的重要性。已知的固体表面是带有几个原子直径，其具有其自身的原子结构和性质，其不同于一散装的厚度的区域。对于大型固体，因为外部区域的体积与质量小的相关性可以忽略外部效果。但是，对于具有大表面质量比效应的小固体增长。本研究的主要目的是通过各种边界条件预测复合层压板的弹性和阻尼性能，模拟MEMS。该问题具有精确的弹性解决方案，用于简单的均匀弯曲和侧向载荷的条件。本文介绍了一种用于应力分析的新方法，以准确测定经受圆柱形弯曲的多层板的详细应力分布。以下是用于预测层压板的应力状态的一些近似方法。该方法是自适应的，不是基于对板模型的严格假设。所描述的理论模型包括板的各层的变形，这考虑了横向剪切，横向正常变形和非线性位移相对于厚度坐标的变形的效果。

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