Chen, Jen-SanJen-SanChenLin, Jian-SanJian-SanLin2008-10-282018-06-282008-10-282018-06-28200600207462http://ntur.lib.ntu.edu.tw//handle/246246/85576https://www.scopus.com/inward/record.uri?eid=2-s2.0-33745848444&doi=10.1016%2fj.ijnonlinmec.2006.04.004&partnerID=40&md5=7ce1fc078a415703533691965047bf64In this paper we consider a shallow arch with rise parameter h, free of lateral loading, but subject to prescribed end motion e with constant speed c. Attention is focused on finding out whether dynamic snap-through will occur. Quasi-static analysis is first performed to identify all equilibrium configurations and their stability properties when e and h are specified. If the arch is stretched quasi-statically, it will be straightened up and no snap-through will occur. However, when the speed c is not negligible it is possible for the arch to snap to the other side dynamically. Careful analysis shows that the only possible situation when dynamic snap-through may occur is h > 3 sqrt(6) and sqrt(frac(8, 3)) h - 4 < e < frac(2, 9) h2 - 4. In this case, to prevent dynamic snap-through to occur the end speed c must not exceed a critical speed, which is a function of e and h. The minimum critical stretching speed is found to be 25.9 for all possible combinations of e and h. © 2006 Elsevier Ltd. All rights reserved.application/pdf518574 bytesapplication/pdfen-USDynamic stability; End motion; Energy barrier; Shallow archDynamics; Equations of motion; Numerical methods; Parameter estimation; Stability; Dynamic stability; End motion; Energy barrier; Shallow arch; Archesjournal article2-s2.0-33745848444http://ntur.lib.ntu.edu.tw/bitstream/246246/85576/1/09.pdf