|
|
||
|
|
|
|
FROM:
Jaroon Rungamornrat, Saethapoom Sihanartkatakul and Pattawee Kanchanakitcharoen (Department of Civil Engineering, Faculty of Engineering, Chulalongkorn University, Bangkok 10330, Thailand),
“Adaptive, Small-Rotation-Based, Corotational Technique for Analysis of 2D Nonlinear Elastic Frames”, Mathematical Problems in Engineering, Volume 2014, Article ID 640983, 15 pages, http://dx.doi.org/10.1155/2014/64098
ABSTRACT: This paper presents an efficient and accurate numerical technique for analysis of two-dimensional frames accounted for both geometric nonlinearity and nonlinear elastic material behavior. An adaptive remeshing scheme is utilized to optimally discretize a structure into a set of elements where the total displacement can be decomposed into the rigid body movement and one possessing small rotations. This, therefore, allows the force-deformation relationship for the latter part to be established based on small-rotation-based kinematics. Nonlinear elastic material model is integrated into such relation via the prescribed nonlinear moment-curvature relationship. The global force-displacement relation for each element can be derived subsequently using corotational formulations. A final system of nonlinear algebraic equations along with its associated gradient matrix for the whole structure is obtained by a standard assembly procedure and then solved numerically by Newton-Raphson algorithm. A selected set of results is then reported to demonstrate and discuss the computational performance including the accuracy and convergence of the proposed technique.
Page 63 / 410