CHAO-CHIEH LANLee, Kok-Meng MengKok-Meng MengLeeLiou, JianhaoJianhaoLiou2025-09-242025-09-242009https://www.scopus.com/inward/record.uri?eid=2-s2.0-70249119221&doi=10.1016%2Fj.mechmachtheory.2009.06.006&partnerID=40&md5=078d49b788fbb2d7867dffd22e187043https://scholars.lib.ntu.edu.tw/handle/123456789/732516We present the generalized multiple shooting method (GMSM) to analyze the dynamics of elastic mechanisms. The GMSM solves a boundary value problem by treating it as an initial value problem. Its accuracy depends on the order of space marching schemes rather than size of discretization. Dynamic equations with joint boundary conditions are derived by using Hamilton's principle to be systematically solved by the GMSM. Comparing with existing solutions and experiments, the GMSM is shown to be efficient yet it captures deflection precisely. We expect it to serve as a good alternative to existing methods.Centrifugal StiffeningElastic MechanismsFlexible Multibody DynamicsFour-bar MechanismHamilton's PrincipleShooting MethodCentrifugal StiffeningElastic MechanismsFlexible Multibody DynamicsFour-bar MechanismHamilton's PrincipleShooting MethodBars (metal)CentrifugationDifferential EquationsDynamicsInitial Value ProblemsMechanical EngineeringElasticityjournal article10.1016/j.mechmachtheory.2009.06.0062-s2.0-70249119221