=-u″with zero boundary conditions by quadratic hierarchical basic are shown explicitly.The condition numberof the resulting system behaves like O(1/h)where h is the mesh size.We also analyze a main diagonal preconditioner of the stiffness matrix which reduces the condition number of the ...
in the equilibrium path only, the nomenclature is defensible nonetheless as a result of the fact that the egien-problem posed within the finite element context resembles the familiar form where the vanishing of the determinant of the stiffness matrix is ...
It's possible to set up a buckling analysis without an applied load, I've done this when writing beam analysis software using a "geometric stiffness" matrix (in place of the mass matrix for a natural freqency analysis) in conjunction with the standard stiffness matrix, and using the same ei...
The analysis of arbitrarily-damped linear mechanical systems It is well known that decouplable systems occur when the damping matrix happens to be a linear combination of the mass and stiffness matrices. Systems ... J.Angeles,K.E.Zanganeh,S.Ostrovskaya - 《Archive of Applied Mechanics》 被引量...
Further, preconditioners custom tailored to the numerical properties of stiffness matrix in SSFEM were developed. Irrespective of the approach used, one serious challenge in SSFEM is its curse of dimensionality, described as follows. The solution is expressed in a series form in terms of random ...
I wonder which of the Fortran variants ran on the 6600. I used a Control Data machine in the 1980's before we had IBM's. Interesting in looking at results the stiffness matrix generated by the Intel Complier is different in 2 elements -- having 13.35 and 6.75 in place of 13.335 and ...
A new random finite element method for solvingrepeated eigenvaluesproblems involving beams structures with stochastic stiffness was proposed. 利用一种新的方法来研究具随机刚度梁结构的重特征值问题。 3. The perturbational reanalysis method ofrepeated eigenvaluesand associated eigenvectors of the lineargeneralized...
The eigenvalues of element stiffness matrices K and the eigenvalues of the generalized problem Kx = ?Mx, where M is the element's mass matrix, are of fundamental importance in finite element analysis. For instance, they may indicate the presence of 'zero energy modes', or control the ...
=-u″with zero boundary conditions by quadratic hierarchical basic are shown explicitly.The condition numberof the resulting system behaves like O(1/h)where h is the mesh size.We also analyze a main diagonal preconditioner of the stiffness matrix which reduces the condition number of the ...
JianqiaoDepartmentYeDepartmentWileyCommunications in Numerical Methods in EngineeringYe J. Error bounds on the eigenvalues of a linearized dynamic stiffness matrix. Communications in Numerical Methods in Engineering 1998; 14(4):305-312.