APPLICATION OF MODAL SUPERPOSITION METHOD WITH RESPONSE DEPENDENT NONLINEAR MODES ON THE FORCED RESPONSE ANALYSIS OF BOLTED JOINT CONNECTIONS

Date

2023-01-01

Author

Beyan, Humeyra
Ciğeroğlu, Ender

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Due to ease of mounting, high strength feature and availability, bolted joints are one of the most common and widely used connection methods. Nonlinear modeling of bolted joints is a complex problem. One common approach of modeling bolted joints is the use of macroslip friction elements distributed around the bolted connection. The use of multiple macroslip friction elements increases the computational time of the analysis. Therefore, in this study, in order to decrease the computational time Modal Superposition Method (MSM) with Response Dependent Nonlinear Modes (RDNMs) is utilized to obtain the solution of the jointed structures. RDNMs, which are calculated during the solution, are a special set of normal modes which captures the dynamics of the nonlinear problem much more accurately than linear modes of the system. Therefore, use of RDNMs decreases the number of modes that should be used in the analysis drastically. Hence, the dimension of the nonlinear algebraic equation set to be solved and the resultant solution time decrease significantly. The obtained form of nonlinear algebraic equation set is solved by using Newton's method with arc-length continuation. A half-lap bolted joint is considered as a case study. Performance of classical MSM that uses linear modes of the system is compared with the MSM with RDNMs.

URI

https://hdl.handle.net/11511/111974

Collections

Department of Mechanical Engineering, Conference / Seminar