A projected conjugate gradient method for structural stability analysis with linear constraints

• Published in: Computers & structures Vol. 33; no. 1; pp. 31 - 39
• Main Authors: Jeusette, Jean-Pierre, Sonzogni, Victorio
• Format: Journal Article
• Language: English
• Published: Oxford Elsevier Ltd 1989; Elsevier Science
• Subjects: Buckling; Exact sciences and technology; Fundamental areas of phenomenology (including applications); Physics; Solid mechanics; Structural and continuum mechanics; Conjugate gradient method; Finite element method; Stability; Inequality constraint; Eigenvalue problem; Mechanical structure; Non linear effect; Algorithm

In this paper a new iterative method to solve an eigenvalue problem subject to linear homogeneous inequality constraints is presented. This approach allows study of the linearized equilibrium path stability of a structure submitted to unilateral contact conditions. The solution is obtained by using...