县臂板固有特性几种情况的分析比较

Analysis and Comparision of Several Cases of Natural Propertiesof Cantilever Plates

采用两种有限单元（矩形板弯元、三角形板弯元）和两种质量矩阵形式（集中质量矩阵、一致质量矩阵）计算等厚度方形悬臂板的固有频率和固有振型，对四种单元／质量矩阵组合形式的固有特性进行了分析比较；指出这些组合形式的数值解与理论解相比产生误差的原因及其改进办法；对变厚度正方形悬臂板（翼而）和等厚度梯形悬臂板（翼面）的固有特性作了启示性分析说明；从中看出不同结构形式悬臂板的固有特性的特点．

In this paper, two kinds of finite elements (rectangular plate bending element, triangularplate bedding element) and two kinds of mass matrixed (concentrative mass matrix and consistentmass mains are applied to calculate natural vibratory frequencies and modes of a square cantileverplate with equal thickness. The natUral property Of their combinatory forms are analysed and compared. Through comparing their numerical solutions and theoretical ones, we find the reasons thatcause errors, and then give some suggestion to improve them. Meantime, some heuristics analysis and directions are given about natural properties of a Square canulever peats with variable thickneSS (airfoil) aDd a bepeziod cantilever Plate with equal thickness (broil),from Which we can find thecharacteristics of natural Propettha of different ￣ctural forms.