Nonlinear Oscillations of Laminated, Anisotropic, Rectangular Plates

Reddy, J. N.; Chao, Wu

doi:10.1115/1.3162100

Cited by 73 publications

(18 citation statements)

References 0 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Analytical investigations of multimode nonlinear vibrations of rectangular angle-ply and cross-ply plates were investigated by Chia and Prabhakara [8]. Reddy and Chao [30,31] and Reddy [29] used a finite-element method to study the nonlinear vibrations of laminated plates with all clamped and all simply supported edges. Nonlinear vibrations of an imperfect laminated plate were investigated by Kapania and Yang [17] using the finite-element method.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear combination resonances in cantilever composite plates

Nayfeh

1996

Nonlinear Dyn

View full text Add to dashboard Cite

We experimentally investigated nonlinear combination resonances in two graphite-epoxy cantilever plates having the configurations (90/30/-30/-30/30/90L and (-75/75/75/-75/75/-75)~. As a first step, we compared the natural frequencies and modes shapes obtained from the finite-element and experimental-modal analyses. The largest difference in the obtained frequencies for both plates was 6%. Then, we transversely excited the plates and obtained force-response and frequency-response curves, which were used to characterize the plate dynamics. We acquired time-domain data for specific input conditions using an A/D card and used them to generate time traces, power spectra, pseudo-state portraits, and Poincarg maps. The data were obtained with an accelerometer monitoring the excitation and a laser vibrometer monitoring the plate response. We observed the external combination resonance f~ ~ a)2 -t-037 in the quasi-isotropic plate and the external combination resonance f~ ~ (1/2) (a~2 + cJs) and the internal combination resonance f~ ~ w8 ~ (1/2)(co2 + w13) in the +75 plate, where the wi are the natural frequencies of the plate and fZ is the excitation frequency. The results show that a low-amplitude high-frequency excitation can produce a high-amplitude low-frequency motion.

show abstract

Section: Introductionmentioning

confidence: 99%

Nonlinear combination resonances in cantilever composite plates

Nayfeh

1996

Nonlinear Dyn

View full text Add to dashboard Cite

show abstract

“…Goswami [9] studied the nonlinear vibration of stiffened composite plates using Lagrangian element and the first order theory. Reddy [10,11] presented a finite element method that included transverse shear strains, and applied the method to rectangular plates of angle-ply and cross-ply. These previous studies all were limited to the plates of no initial stress.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear vibration of laminated plates on a nonlinear elastic foundation

Chien¹,

Chen

2005

Composite Structures

View full text Add to dashboard Cite

“…Employment in (11) of the partially nonlinear strain-displacement relationship 2<u -ru * vn + Vm <66> considered in conjunction with (65) and the further suppression in the ensuing developments of all nonlinear terms depending on Va, all these yield the field equations appropriate to a refined theory of multilayered shells of a von-Karman type. Several results belonging to such a theory (appropriate to single and multilayered shells and plates) are reported in [25,5,44,45] and [4,5,20,46], respectively.…”

Section: P=omentioning

confidence: 99%

“…A large diversity of high-order theories of multilayered plates [17][18][19][20] and shells [21][22], relies upon the various selection of the degree of approximation of (14).…”

Section: P=omentioning

confidence: 99%