Partner: R.T. Haftka

Ostatnie publikacje
1.Haftka R.T., Cohen G.A., Mróz Z., Derivatives of Buckling Loads and Vibration Frequencies With Respect to Stiffness and Initial Strain Parameters, JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME, ISSN: 0021-8936, DOI: 10.1115/1.2888302, Vol.57, No.1, pp.18-24, 1990


A uniform variational approach to sensitivity analysis of vibration frequencies and bifurcation loads of nonlinear structures is developed. Two methods of calculating the sensitivities of bifurcation buckling loads and vibration frequencies of nonlinear structures, with respect to stiffness and initial strain parameters, are presented. A direct method requires calculation of derivatives of the prebuckling state with respect to these parameters. An adjoint method bypasses the need for these derivatives by using instead the strain field associated with the second-order post-buckling state. An operator notation is used and the derivation is based on the principle of virtual work. The derivative computations are easily implemented in structural analysis programs. This is demonstrated by examples using a general purpose, finite element program and a shell-of-revolution program.

Słowa kluczowe:

Oscillating frequencies, Stress, Buckling, Stiffness, Bifurcation, Structural analysis, Computation, Sensitivity analysis, Shells, Virtual work principle

Afiliacje autorów:

Haftka R.T.-other affiliation
Cohen G.A.-other affiliation
2.Haftka R., Mróz Z., First- and second-order sensitivity analysis of linear and nonlinearstructures, AIAA Journal, ISSN: 0001-1452, DOI: 10.2514/3.9412, Vol.24, No.7, pp.1187-1192, 1986

Lista rozdziałów w ostatnich monografiach
Mróz Z., Haftka R.T., Buckling of Structures, rozdział: Sensitivity of Buckling Loads and Vibration Frequencies of Plates, Elsevier, series Studies in Applied Mechanics, 19, pp.255-266, 1988