Comparative study on explicit integration algorithms for structural dynamics

Çakır, Dilara
Conventional explicit integration algorithms used to solve structural dynamic problems may require too small time increments to satisfy the stability requirements in the presence of high-frequency modes. The requirement to have a too small time increment can cause extending the solution time above the tolerable limit. In this study, three different explicit integration algorithms found in the literature are compared in terms of stability, accuracy, and run-time. The examined integration methods are a two-step integration algorithm, a mass scaling method, and an unconditionally stable explicit algorithm. The performance of each algorithm has been discussed by implementing them in MATLAB and solving various structural dynamic problems. Obtained results are then compared with the solutions of Newmark’s explicit integration algorithm, which is considered the reference solution method.


Ergül, Özgür Salih (2011-01-01)
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Özgenoğlu, Müge; Arıcı, Yalın (2017-01-01)
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Chatter is an important problem in machining operations, and can be avoided by utilizing stability diagrams which are generated using frequency response functions (FRF) at the tool tip. In general, tool point FRF is obtained experimentally or analytically for the idle state of the machine. However, during high speed cutting operations, gyroscopic effects and changes of contact stiffness and damping at the interfaces as well as the changes in the bearing properties may lead to variations in the tool point FR...
Citation Formats
D. Çakır, “Comparative study on explicit integration algorithms for structural dynamics,” M.S. - Master of Science, Middle East Technical University, 2022.