Modal interactions in the vibrations of a heated annular plate

Arafat, Haider N.; Nayfeh, Ali H.

doi:10.1016/j.ijnonlinmec.2004.02.015

Cited by 14 publications

(2 citation statements)

References 26 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Yam et al [49] experimentally studied and suggested that modal strain analysis can be effectively utilized to study structural dynamic and fatigue life estimation. Haider and Nayfeh [50] investigated the modal interaction in the nonlinear forced vibrations of a heated plate. Lamb and Rouillard [51] stated that system fatigue characteristic can be obtained by monitoring its modal parameters.…”

Section: Challenge-1: Assessing Fatigue Damage Accurately Under the Vibration-based Loadsmentioning

confidence: 99%

Current challenges in modelling vibrational fatigue and fracture of structures: a review

Kamei

Khan

2021

J Braz. Soc. Mech. Sci. Eng.

View full text Add to dashboard Cite

Fatigue damage is a concern in the engineering applications particularly for metal structures. The design phase of a structure considers factors that can prevent or delay the fatigue and fracture failures and increase its working life. This paper compiled some of the past efforts to share the modelling challenges. It provides an overview on the existing research complexities in the area of fatigue and fracture modelling. This paper reviews the previous research work under five prominent challenges: assessing fatigue damage accurately under the vibration-based loads, complications in fatigue and fracture life estimation, intricacy in fatigue crack propagation, quantification of cracks and stochastic response of structure under thermal environment. In the conclusion, the authors have suggested new directions of work that still require comprehensive research efforts to bridge the existing gap in the current academic domain due to the highlighted challenges.

show abstract

Section: Challenge-1: Assessing Fatigue Damage Accurately Under the Vibration-based Loadsmentioning

confidence: 99%

Current challenges in modelling vibrational fatigue and fracture of structures: a review

Kamei

Khan

2021

J Braz. Soc. Mech. Sci. Eng.

View full text Add to dashboard Cite

show abstract

“…Yamaki et al studied nonlinear vibrations of a clamped circular plate with initial deflection and initial edge displacement (1), (2) . Afarat et al analyzed natural frequencies and nonlinear vibrations of a heated annular plate (3), (4) . Traveling waves, which are generated in a plate with circular boundary, have also been studied by many resurchers.…”

Section: Introductionmentioning

confidence: 99%

Experiments on Chaotic Vibrations of a Thin Circular Plate with Outer Clamped Edge and a Circular Center Hole

Nagai

Okada

Maruyama

et al. 2010

JSDD

View full text Add to dashboard Cite

This paper presents experimental results on chaotic vibrations of a thin circular plate with a circular center hole. The plate has an asymmetric curved configuration due to an initial imperfection, an in-plane compressive stress and lateral deformation by the gravity. First, linear natural frequencies and natural modes of vibration are measured. The second and the third modes of vibration have one nodal diameter with different natural frequencies. These nodal diameters are perpendicular to each other. The linear natural frequencies of the lowest and the second modes satisfy the condition of oneto-two internal resonance, closely. Characteristics of restoring force of the plate show the type of a softening-and-hardening spring. Next, the plate is excited with periodic acceleration, laterally. Sweeping the excitation frequency, nonlinear responses of the plate are measured. In a restricted frequency range of the principal resonance of the lowest mode, non-periodic responses with amplitude modulation are generated. The time histories of the response are measured for a long-time interval at four positions, simultaneously. The time histories are inspected by the Fourier spectrum, the Poincaré projection, the maximum Lyapunov exponents and the principal component analysis. The non-periodic response is found to be the chaotic response generated from the oneto-two internal resonance coupled with the lowest and the second modes. The results of the principal component analysis with the time histories of the multiple positions on the plate show that the lowest, second and third modes predominantly contribute to the chaotic response. Applying the calculation with short-time intervals cut out from the time histories, it is found that the nodal patterns of the second and the third modes of vibration are fluctuated along the circumferential direction. Furthermore, the exchange of the contribution ratio is shown between the lowest and the second modes of vibration.

show abstract

Piecewise shear deformation theory and finite element formulation for vibration analysis of laminated composite and sandwich plates in thermal environments

Zhao

Hulbert

et al. 2017

Composite Structures

View full text Add to dashboard Cite

Modal interactions in the vibrations of a heated annular plate

Cited by 14 publications

References 26 publications

Current challenges in modelling vibrational fatigue and fracture of structures: a review

Current challenges in modelling vibrational fatigue and fracture of structures: a review

Experiments on Chaotic Vibrations of a Thin Circular Plate with Outer Clamped Edge and a Circular Center Hole

Piecewise shear deformation theory and finite element formulation for vibration analysis of laminated composite and sandwich plates in thermal environments

Contact Info

Product

Resources

About