| Summary: | 碩士 === 國立臺灣海洋大學 === 河海工程學系 === 102 === To begin with, this paper introduces the relationship of “stiffness matrix”, “field transfer matrix”, and “the state matrix of spatially pre-twisted curved-beams”. And define the mathematic and vector operations, which will use in this paper. Then, use two basic rules of mechanics “rigid body motion rules” and “incremental force equilibrium rules” to satisfy the stiffness matrix, field transfer matrix, and state matrix. And derive the stiffness matrix and state matrix of large angle spatially pre-twisted curved-beams by using the material constitutive law which consider the large angle spatially pre-twisted.
This method is easier than traditional virtual geometric-nonlinear strain energy, but the Integral representation formula is complicated. So this paper propose a new method to simplify the procedure of the spatially curved-beams by using difference method and state matrix.
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