Abstract. Two simplified methods are introduced in the paper, in which periods and mode shapes are obtained through solving the story lateral stiffness of frame-shear wall structures, the method of solving the differential equation and the method of substructure. On the basis of assumption for structure, the assembling strategy of mass matrix and stiffness matrix are discussed specially. The periods and mode shapes can be acquired through both methods and the results are compared and analyzed with PKPM and ANSYS. The computation programs are very convenient and can gain the periods and mode shapes quickly. The methods will create some degree of errors, but it is in the scope of acceptance. They are of great reference to structural designers and scientific researchers.
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