Dynamic Stability of Laminated Composite Beams Subject to Subtangential Loads

Goyal, Vijay K.; Kapania, Rakesh K.

doi:10.2514/6.2003-1930

Cited by 1 publication

(2 citation statements)

References 13 publications

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“…Goyal and Kapania (2007) developed a 21 degree-of-freedom beam element, based on the first order shear deformation theory, to study the static and dynamic response of one-dimensional fiber-reinforced laminated composite structures. Later, the formulation was expanded to take into account for subtangential loads (Goyal and Kapania, 2003). Here we integrate the probabilistic approach into the vibrations and dynamic stability analysis using perturbation methods.…”

Section: A Computational Probabilistic Analysismentioning

confidence: 99%

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Dynamic stability of uncertain laminated beams subjected to subtangential loads

Goyal

Kapania

2008

International Journal of Solids and Structures

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Because of the inherent complexity of fiber-reinforced laminated composites, it can be challenging to manufacture composite structures according to their exact design specifications, resulting in unwanted material and geometric uncertainties. Thus the understanding of the effect of uncertainties in laminated structures on their static and dynamic responses is highly important for a reliable design of such structures. In this research, we focus on the probabilistic stability analysis of laminated structures subject to subtangential loading, a combination of conservative and nonconservative tangential loads, using the dynamic criterion. In order to study the dynamic behavior by including uncertainties into the problem, three models were developed: exact Monte Carlo simulation, sensitivity-based Monte Carlo simulation, and probabilistic FEA. These methods were integrated into the existing finite element analysis. Also, perturbation and sensitivity analysis have been used to study nonconservative problems to study the stability analysis using the dynamic criterion. A computational probabilistic analysisLaminated composite structures are challenging because their mechanical and physical properties can be uncertain due to changes in various factors like fiber orientations, curing temperature, pressure and time, voids, and impurities among others. The design and analysis using conventional materials is easier than those using composites because for conventional materials both material and geometric properties have either little or well known variation from their nominal value. On the other hand, the same cannot be said for the design 0020-7683/$ -see front matter Ó

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Section: A Computational Probabilistic Analysismentioning

confidence: 99%

“…For the present analysis, at least 10,000 realizations of the uncertain beam are performed, increasing the accuracy of the ply-angle and ply-axial modulus of elasticity distribution fit to the sample data. Goyal and Kapania (2003) derived the eigenvalue problem for the case of subtangential loading as follows:…”

Section: Monte Carlo Simulationmentioning

confidence: 99%

Dynamic stability of uncertain laminated beams subjected to subtangential loads

Goyal

Kapania

2008

International Journal of Solids and Structures

View full text Add to dashboard Cite

show abstract

Dynamic Stability of Laminated Composite Beams Subject to Subtangential Loads

Cited by 1 publication

References 13 publications

Dynamic stability of uncertain laminated beams subjected to subtangential loads

Dynamic stability of uncertain laminated beams subjected to subtangential loads

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