Frequency dependent mass and stiffness matrices of bar and beam elements and their equivalency with the dynamic stiffness matrix
نویسندگان
چکیده
Starting from the solutions of governing differential equations motion in free vibration, frequency dependent mass and stiffness matrices bar beam elements have been derived this paper, but importantly, their equivalency with corresponding dynamic matrix is established. In sharp contrast to series solutions, reported literature, explicit expressions for each term are generated concise form through application symbolic computation relationship single (which contains both properties) two element types highlighted. The theory demonstrated by numerical results. By splitting into at same time retaining exactness results, investigation paves way future research overcome difficulty include damping which has not possible earlier. Furthermore, paper permit Wittrick-Williams algorithm compute certainty exact natural frequencies structures comprising elements.
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ژورنال
عنوان ژورنال: Computers & Structures
سال: 2021
ISSN: ['1879-2243', '0045-7949']
DOI: https://doi.org/10.1016/j.compstruc.2021.106616