||The main objective for this research is using strain data to develop a Inverse dynamic algorithm in order to calculate the load of moving vehicle。The basis of this algorithm is structure dynamic equation, normally we can easily get inverse answer by inverse matrix, but consider of that there is too many unknowns in the matrix of structure, result that the relationship matrix is ill conditioned, to solve this problem, we introduce a method named Tikhonov regularization which is the most commonly used method of ill-posed problems, and then by using State-Space System to discretize the equation and achieve iterative equation, furthermore, to simplify calculation, we use concept of mode superposition method without losing accuracy and save massive time. We use finite element method to verify algorithm is correct or not, and benchmark the algorithm to see its performance, in the end we use ANSYS to interface our program with stiff matrix and mass matrix.|
|| Ansel C.N.,&Saul K.F. (2015).advanced mechanic of materials and applied elasticity 5e,Pearson|
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