Abstract
The stiffiness matrix would be singular in finite element static analysis of free structure, so the analysis would fail. To solve this problem, we can obtain the total displacement of free structure under some well-posed constraint, and then use the projector matrix constructed by rigid body modes (RBM) to separate the elastic displacement from the total displacement. Another point, the traditional RBM matrix is only linear, which isn’t satisfy the large rotational condition, so a new construction of RBM matrix based on rigid body motion is proposed. It can be found that the nonlinear projector matrix can be reduced to linear projector matrix in some cases. The numerical results show the feasibility of the proposed method and the differences in linear and nonlinear analysis.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
