Shiraz University Iranian Journal of Science and Technology Transactions of Civil Engineering 2228-6160 39 C1 2015 02 01 FINITE ELEMENT ANALYSIS USING MIXED FORCE-DISPLACEMENT METHOD VIA SINGULAR VALUE DECOMPOSITION 1 19 2736 10.22099/ijstc.2015.2736 EN Journal Article 2013 09 27 The present approach is a combination of the force method and displacement approach<br />to achieve the analysis using the substructuring technique. In this method, the inverse of the<br />stiffness matrices of the substructures are constructed for the formation of the flexibility matrices.<br />This part of the solution is equivalent to the stiffness approach. In the subsequent stage, the results<br />of the analysis are assembled using the singular value decomposition (SVD) and the solution for<br />the entire structure is obtained. In fact, for assembling the structure, we need the flexibility<br />matrices of the substructures which are obtained by the stiffness method.<br />In this paper, a mixed force-displacement method is applied to finite element models for<br />increasing the speed of their solution. Each substructure is analyzed independently by singular<br />value decomposition of the corresponding equilibrium matrix. Methods are then utilized for<br />transforming the substructures into regular forms whenever it is possible. The application of this<br />method in finite element models with different substructures improves the process of analysis, and<br />makes the use of the existing solution techniques possible for regular systems. https://ijstc.shirazu.ac.ir/article_2736_dba1f230f6da4cb9e929543cb2c58801.pdf