Abstract
Modal analyses are essential steps in structural design. Simple and quick numerical procedures and design tools for modal and dynamic analysis of bonded joints would be an attractive option to increase the efficiency of the design process in its early phases. This paper offers a simple and quick numerical tool dedicated to the modal analysis of single lap bonded joints with balanced and unbalanced adherends with various boundary conditions. Based on the macro-element technique developed with Taylor expansion in power series, this paper gives all the steps to develop the mass matrix associated with a macro-element. The mass matrix has been developed so far for 1D-bar and 1D-beam kinematic frameworks. The results obtained with the macro-element technique and a Finite Element analysis give similar results.
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