An empirical non-linear damping model, for use with single-degree-of-freedom clamped-clamped beam vibrations driven by band-limited white noise, is calibrated by using large amplitude experimental measurements. To verify the model, two parameter estimation methods are initially tested on simulated d
DESIGN SENSITIVITY ANALYSIS OF NON-LINEAR RESPONSE FOR LARGE DEFLECTION FORCED VIBRATIONS OF BEAMS
β Scribed by A.-J. Ma; S.-H. Chen; X.-N. Li
- Publisher
- Elsevier Science
- Year
- 1995
- Tongue
- English
- Weight
- 377 KB
- Volume
- 187
- Category
- Article
- ISSN
- 0022-460X
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β¦ Synopsis
A computational method for design sensitivity analysis of the non-linear forced vibrations response of beams is presented. The large deflection leads to geometric non-linearity. Longitudinal displacement and inertia are considered in the non-linear vibration formulation. As an application of this method, two numerical examples are given. The results show that the method proves to be effective.
π SIMILAR VOLUMES
The semi-analytical approach to the non-linear dynamic response of beams based on multimode analysis has been presented in Part I of this series of papers (Azrar et al., 1999 Journal of Sound and <ibration 224, 183}207 [1]). The mathematical formulation of the problem and single mode analysis have b
A new technique of approximating design sensitivities of the critical load is presented in this paper. The technique results in stable and reliable estimations of design sensitivities at prebuckling points. Since taking derivatives of an approximated eigenvalue problem gives unstable sensitivities a
In a previous series of papers [1][2][3], a general model based on Hamilton's
In this paper, a method is proposed for modelling large de#ection beam response involving multiple vibration modes. Signi"cant savings in computational time can be obtained compared with the direct integration non-linear "nite element method. The de#ections from a number of static non-linear "nite e