Optimum single modal and bimodal buckling design of symmetric laminatesVariational calculus is used to determine the design that maximizes the resistance of classical symmetric laminates against buckling. The orientations of the constituent orthotropic laminae with respect to the principal axes of the laminate are the design variables. It is shown that the optimal design may not be a point of analyticity of the buckling load. Local analytic extrema are obtained from the design derivatives of the buckling load. Nonanalytic extrema occur whenever the buckling load is a repeated eigenvalue. A novel approach, using a directional design derivative, is employed to determine nonanalytic extrema. Specific examples are presented for biaxial buckling for several different boundary conditions.
Document ID
19900045224
Acquisition Source
Legacy CDMS
Document Type
Conference Paper
Authors
Qian, B. (Howard Univ. Washington, DC, United States)
Reiss, R. (Howard Univ. Washington, DC, United States)
Aung, W. (Howard University Washington, DC, United States)