Local and global nonlinear dynamics of thermomechanically coupled composite plates in passive thermal regime

Settimi, Valeria; Saetta, Eduardo; Rega, Giuseppe

doi:10.1007/s11071-017-3648-1

Cited by 16 publications

(30 citation statements)

References 37 publications

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“…Modelling and the nonlinear dynamics of composite plates in a thermomechanical framework have been the subject of some recent studies aimed at unveiling the possible need to account for the actually coupled behaviour occurring in the multiphysics environment which characterizes their applications in several fields of mechanical, aerospace and civil engineering [1][2][3]. Indeed, most of the previous studies dealing with the nonlinear dynamics of structural models were concerned with partially coupled, or even uncoupled, analyses, in which the interaction phenomena between mechanical and thermal variables are neglected; the problem is addressed by simply referring to a thermal environment and assuming the temperature distribution, or at least independently solving the heat conduction problem and then the mechanical equations of dynamic equilibrium with known terms involving temperature effects (see, for example, [4][5][6][7][8][9][10][11][12]).…”

Section: Introductionmentioning

confidence: 99%

Avoiding/inducing dynamic buckling in a thermomechanically coupled plate: a local and global analysis of slow/fast response

2018

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The nonlinear response of a reduced model of an orthotropic single-layered plate with thermomechanical coupling is investigated in the presence of thermal excitations, in addition to mechanical ones. Different issues are addressed via accurate and extended local and global analyses. (i) Assessing the possible occurrence, disappearance or modification of mechanical buckling as a result of thermal aspects; (ii) exploiting global dynamics to unveil the effects of coupling; (iii) highlighting the crucial role played by the slow thermal transient evolution in modifying the fast steady mechanical response; (iv) framing the influence of coupling and underlining the need to use a thermomechanical model to grasp the actual plate dynamics; and (v) getting hints of technical interest as to the outcome robustness with respect to variations in the external/internal thermal parameters.

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Section: Introductionmentioning

confidence: 99%

Avoiding/inducing dynamic buckling in a thermomechanically coupled plate: a local and global analysis of slow/fast response

2018

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“…Large amplitude vibrations and regular and chaotic oscillations of a Timoshenko beam under the influence of temperature were analysed by Warminska et al [29,30], and mechanical and thermal loadings have been discussed. Moreover, nonlinear vibration characteristics of cross-ply composite plates in thermal environments were investigated by Settimi et al [31] and Saetta et al [32]. Recently, based on Hamilton's principle, temperature effects on the vibration behaviors of the cable-stayed-beam by introducing two nondimensional factors were investigated by Zhao et al [33].…”

Section: Introductionmentioning

confidence: 99%

Temperature Effects on Nonlinear Vibration Behaviors of Euler‐Bernoulli Beams with Different Boundary Conditions

Zhao

Huang

2018

Shock and Vibration

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This paper is concerned with temperature effects on the modeling and vibration characteristics of Euler-Bernoulli beams with symmetric and nonsymmetric boundary conditions. It is assumed that in the considered model the temperature increases/decreases instantly, and the temperature variation is uniformly distributed along the length and the cross-section. By using the extended Hamilton’s principle, the mathematical model which takes into account thermal and mechanical loadings, represented by partial differential equations (PDEs), is established. The PDEs of the planar motion are discretized to a set of second-order ordinary differential equations by using the Galerkin method. As to three different boundary conditions, eigenvalue analyses are performed to obtain the close-form eigenvalue solutions. First four natural frequencies with thermal effects are investigated. By using the Lindstedt-Poincaré method and multiple scales method, the approximate solutions of the nonlinear free and forced vibrations (primary, super, and subharmonic resonances) are obtained. The influences of temperature variations on response amplitudes, the localisation of the resonance zones, and the stability of the steady-state solutions are investigated, through examining frequency response curves and excitation response curves. Numerical results show that response amplitudes, the number and the stability of nontrivial solutions, and the hardening-spring characteristics are all closely related to temperature changes. As to temperature effects on vibration behaviors of structures, different boundary conditions should be paid more attention.

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“…2.4 newly enables the analytical prediction of the nonlinear structural and thermal dynamics of a flat beam wherein two-way thermomechanical coupling is prevalent. The analysis provides a bridge between the previous nonlinear analyses [20,21] and the fidelity of numerical simulations [9,10] and reduced-order models formulations [17] that exhibit two-way thermal-structural interactions.…”

Section: Derivation Of Ordinary Differential Equations Formentioning

confidence: 99%

“…Finite element methods have been formulated by Daneshjo and Ramezani [13] and Carrera et al [14] to study the linear dynamics of laminate plates exhibiting rich coupling between thermal and mechanical domains. Reduced-order models have been shown by Matney et al [15], Perez et al [16], and Settimi et al [17] to characterize the intricate thermal and mechanical coupling while requiring less computational expense than numerical integration of a finite element model. Yet, the ability to obtain fundamental insight into thermal-structural interactions via parametric studies may be limited by the case study-dependent nature and computational costs of numerical methods.…”

Section: Introductionmentioning

confidence: 99%

Analytical Modeling and Impedance Characterization of the Nonlinear Dynamics of Thermomechanically Coupled Structures

Goodpaster

Harne

2018

Journal of Applied Mechanics

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In many applications, coupling between thermal and mechanical domains can significantly influence structural dynamics. Analytical approaches to study such problems have previously used assumptions such as a proscribed temperature distribution or one-way coupling to enable assessments. In contrast, time-stepping numerical simulations have captured more detailed aspects of multiphysics interactions at the expense of high computational demands and lack of insight of the underlying physics. To provide a new tool that closes the knowledge gap and broadens potential for analytical techniques, this research formulates and analytically solves a thermomechanical beam model considering a combination of thermal and mechanical excitations that result in extreme nonlinear behaviors. Validated by experimental evidence, the analytical framework facilitates the prediction of the nonlinear dynamics of multi-degree-of-freedom structures exhibiting two-way thermomechanical coupling. The analysis enables the investigation of mechanical and thermomechanical impedance metrics as a means to forecast future nonlinear dynamic behaviors such as extreme bifurcations. For the first time, characteristics of mechanical impedance previously reported to predict the onset of dynamic bifurcations in discrete systems are translated to illuminate the nearness of distributed parameter structures to bifurcations. In addition, fundamental connections are discovered in the thermomechanical evaluations between nonlinear low amplitude dynamics of the postbuckled beam and the energetic snap-through vibration that are otherwise hidden by studying displacement amplitudes alone.

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Local and global nonlinear dynamics of thermomechanically coupled composite plates in passive thermal regime

Cited by 16 publications

References 37 publications

Avoiding/inducing dynamic buckling in a thermomechanically coupled plate: a local and global analysis of slow/fast response

Avoiding/inducing dynamic buckling in a thermomechanically coupled plate: a local and global analysis of slow/fast response

Temperature Effects on Nonlinear Vibration Behaviors of Euler‐Bernoulli Beams with Different Boundary Conditions

Analytical Modeling and Impedance Characterization of the Nonlinear Dynamics of Thermomechanically Coupled Structures

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