| Summary: | 碩士 === 國立臺灣大學 === 機械工程學研究所 === 88 === This study uses finite element method of axisymmetric theory and test of modal experiment to inquire the nature frequencies and vibration modes of one - layer , two-layers , three-layers and multipe-layers''s of circular and annular compositecompose plates .
In theory aspect , this study uses the axisymmetric characteristic of circular and annular compositecompose plates and Lagrange equations to derive the finite element vibration equations of axisymmetric structure which include damping and un-damping influence . And using these equations to slove the nature frequency and vibration mode of one - layer , two-layers , three-layers and multipe-layers''s circular and annular compositecompose plates in different boundary conditions , dimension of geometry , material properties and types of combination to inquire the tendency of nature frequencies and vibration modes . Due to the axisymmetric theory applied to axisymmetric structure is based on the three-dimensional elasticity theory .Without adding any assumption and predigest in the type of displacement and stress , so it is more conveniently and exactly to simulate the axisymmetric vibrations of three dimension circular and annular compositecompose plates than those classical , first-order , high-order plate-theory and the three-dimensional-elasticity theory in practically .
In experiment aspect , this study uses the test of modal experiment to measure one - layer , two-layers and three-layers''s circular composite plates in free boundary condition and compares with analytical results of the finite element method of axisymmetric theory . It''s seem from results , these data of the nature frequencies and vibration modes are very close and it''s also can be proved the correction of the theory of this study and the test of modal experiment .
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