TY - JOUR ID - 72057 TI - Large Deflection Analysis of Compliant Beams of Variable Thickness and Non-Homogenous Material under Combined Load and Multiple Boundary Conditions JO - International Journal of Engineering JA - IJE LA - en SN - 1025-2495 AU - Dardel, Morteza AU - Khavvajia, Ahmad AU - Akbari Alashti, Reza AU - Pashaei, M. H. AD - , Babol Noshirvani university of technology AD - Solid Mechanics, Babol Univ. of Thecnology AD - Mechanial Eng, Babol University of Technology AD - Department of solid Mechanics, Babol Noshirvani University of Technology Y1 - 2012 PY - 2012 VL - 25 IS - 4 SP - 353 EP - 362 KW - Large Deflection KW - Compliant mechanisms KW - Geometric nonlinearity KW - Multiple shooting method KW - Quadratic programming DO - N2 - This paper studies a new approach to analyze the large deflection behavior of prismatic and non-prismatic beams of non-homogenous material under combined load and multiple boundary conditions. The mathematical formulation has been derived which led to a set of six first-order ordinary differential equations. The geometric nonlinearity was solved numerically using the multiple shooting method combined with a quadratic programming technique. This solution technique was also performed to compare the result with existing solutions of less complex cases in the literature. The method may be applied to the design of compliant mechanisms, nonlinear springs or any related subject UR - https://www.ije.ir/article_72057.html L1 - https://www.ije.ir/article_72057_c34b761d2110e2d0b8d576837f278f60.pdf ER -