Dynamic stability of laminated beams subjected to nonconservative loading

Goyal, Vijay K.; Kapania, Rakesh K.

doi:10.1016/j.tws.2008.03.014

Cited by 18 publications

(2 citation statements)

References 16 publications

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“…They have used Love's hypothesis to derive the differential equations of motion, and used an extended Galerkin's method to solve the equations of motion. Goyal et al [14] and Kim et al [15] studied the dynamic stability of laminated composite beams subjected to non-conservative tangential follower loads.…”

Section: Introductionmentioning

confidence: 99%

Dynamic instability of rotating doubly-tapered laminated composite beams under periodic rotational speeds

Seraj

Ganesan

2018

Composite Structures

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Dynamic instability analysis of doubly-tapered cantilever composite beams rotating with periodic rotational velocity is conducted in the present work for out-of-plane bending (flap), inplane bending (lag) and axial vibrations. Rayleigh-Ritz method and classical lamination theory are used along with an energy formulation. Bolotin's method is applied to obtain the instability regions. To verify the dynamic instability analysis results, time responses are investigated at different locations of the instability region by using the Runge-Kutta method. A comprehensive parametric study is conducted in order to understand the effects of taper configurations and various system parameters including mean rotational velocity, hub radius, double-tapering angles and stacking sequences, on the dynamic instability characteristics of the composite beam. The composite material considered in the present work in numerical results is NCT-301 graphiteepoxy prepreg.

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Section: Introductionmentioning

confidence: 99%

Dynamic instability of rotating doubly-tapered laminated composite beams under periodic rotational speeds

Seraj

Ganesan

2018

Composite Structures

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“…However, owing to valuable characteristics of composite structures, use of this class of materials in a variety of application developed rapidly and many researchers focused on buckling, vibration, and aeroelastic stability of composite structures. Kameswara et al 1 proposed an analytical method for evaluating the natural frequencies of laminated sandwich beams using higher order mixed theory. Goyal and Kapania 2 investigated dynamic stability of laminated beams subjected to non-conservative loads.…”

Section: Introductionmentioning

confidence: 99%

Stability of smart sandwich beams with cross-ply faces and electrorheological core subjected to axial loads

Tabassian

Rezaeepazhand

2011

Journal of Reinforced Plastics and Composites

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In this article, an effort has been made to deal with stability analysis of a smart sandwich beam with cross-ply faces and ER core. An ER layer is adhered to the laminated composite beam to increase dynamic stability of the beam. Bingham's model is applied to model dynamic behavior of ER layer. A smart beam element is derived for the sandwich beam and finite element modeling is carried out. Transient response of the beam to an initial excitation is calculated using direct integration method. By analyzing the dynamic responses of the beam in different load amplitudes, critical loads and stability regions are obtained. Parametric study has been done and effects of various parameters such as the electric field, stacking sequence of the layers, and thickness ratio of elastic faces on static and dynamic stability of the beam are investigated. Obtained results show that stacking sequence and thickness ratio of elastic faces affects both static and dynamic stability of the beam. On the other hand, ER layer affects damping properties of structures as a result of which only dynamic stability of the beam is improved.

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