TY - JOUR
AU - SMITH, I.M.
AB - 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 critical timestep applicable in temporal integration of dynamic problems. Recently explicit formulae for the eigenvalues of the stiffness matrix of a plane, 4node rectangular element have been given, and the authors have extended this approach to deal with 8node solid brick elements as well. In the present paper, explicit eigenvalues are given for plane triangular elements and techniques for eigenmode visualization are applied to wellknown triangular and quadrilateral elements. In the companion paper Part II, the stiffness matrices of solid tetrahedra and bricks are similarly treated.
TI - EIGENVALUES OF ELEMENT STIFFNESS MATRICES. PART I 2D PLANE ELEMENTS
JO - Engineering Computations: International Journal for Computer-Aided Engineering and Software
DO - 10.1108/eb023868
DA - 1992-03-01
UR - https://www.deepdyve.com/lp/emerald-publishing/eigenvalues-of-element-stiffness-matrices-part-i-2d-plane-elements-RSyAhw2GPX
SP - 307
EP - 316
VL - 9
IS - 3
DP - DeepDyve
ER -