Prediction of statistical dynamics of thermally buckled composite panels

Lee, Jon; Wentz, Kenneth R.; Clay, C.; Anselmo, Estelle; Crumbacher, Ronald; Vaicaitis, R.

doi:10.2514/6.1998-1975

Cited by 11 publications

(4 citation statements)

References 11 publications

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“…Under certain thermal-acoustic loading conditions, a dynamic instability will give rise to a snap-though response, [1][2][3] which can significantly reduce fatigue life. The snap-through problem has previously been investigated using reduced-order analyses with both closedform [4][5][6] and finite element (FE) [7][8][9] solutions. Reduced-order FE analysis can be further classified into so-called direct 7,8 and indirect 9 stiffness evaluation procedure approaches.…”

mentioning

confidence: 99%

Dynamic Snap-Through of Thin-Walled Structures by a Reduced-Order Method

Przekop

Rizzi

2007

AIAA Journal

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The goal of this investigation is to further develop nonlinear modal numerical simulation methods for application to geometrically nonlinear response of structures exposed to combined high intensity random pressure fluctuations and thermal loadings. The study is conducted on a flat aluminum beam, which permits a comparison of results obtained by a reduced-order analysis with those obtained from a numerically intensive simulation in physical degrees-of-freedom. A uniformly distributed thermal loading is first applied to investigate the dynamic instability associated with thermal buckling. A uniformly distributed random loading is added to investigate the combined thermal-acoustic response.

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confidence: 99%

Dynamic Snap-Through of Thin-Walled Structures by a Reduced-Order Method

Przekop

Rizzi

2007

AIAA Journal

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“…Thus the thermally-induced deformation with external transverse excitations, such as aerodynamic pressure, might cause large amplitude nonlinear vibration of a sandwich panel [5]. In this case, fatigue may occur, and it can severely reduce the life of the structure [6,7]. Therefore, thermal environment is becoming a key factor, which can affect the dynamic characteristics, response and integrity of the structure.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear dynamic response of a sandwich structure with flexible core in thermal environments

Zhao

Cheng³

et al. 2020

Jnl of Sandwich Structures & Materials

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Nonlinear dynamic response with stability analysis of a sandwich structure with flexible core are investigated by integration of variational asymptotic method (VAM) and the first-order shear deformation theory. A simply supported sandwich structure is subjected to an harmonic transverse excitation in thermal environments. Generalized 2 D Reissner-Mindlin type stiffness matrices including an equivalent transverse shear matrix are obtained based on through-the-thickness analysis using VAM without invoking any ad hoc kinematic assumptions. The governing equation is derived using Hamilton’s principle taking into account von K[Formula: see text]rm[Formula: see text]n geometric nonlinearity. Galerkin’s method is employed to develop a nonlinear differential equation of the problem with quadratic and cubic nonlinearities, which are associated with the coupling of the in-plane stretching and transverse deflection due to thermal moments. Periodic solutions are determined using the incremental harmonic balance (IHB) method and incremental arc-length technique. The stability is evaluated by Routh-Hurwitz theory. The effects of the temperature variation, geometric parameters and material properties on the resonance as well as amplitude of steady state vibration are investigated through a detail parametric study.

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“…Then, NG and Clevenson [16] firstly observed the snap-through phenomenon of thin-walled plate in thermal buckling state, then they proposed statistical response characteristics of thin plate using single degree of freedom model. [17,18] Subsequently, a lot of research on the statistical response of displacement and strain for the single degree of freedom model had been done by Lee [19][20][21] and Lee et al [22]. As for numerical method, Locke [23] had proposed finite element method (FEM) to solve the structural buckling response of combined thermal and acoustic excitations.…”

Section: Introductionmentioning

confidence: 99%

Archives of Thermodynamics

Dang,

Mao

2020

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For thin-walled structures invariably exposed to thermal and noise environment, their dynamic response is an extreme concern in the design of the component of advanced hypersonic aircraft. To address the problem, three theoretical models are established with three typical graded thermal distributions considered. By introducing the thermal moment, membrane forces and acoustic loadings into the vibration equation of plate, the governing equation is derived and it is solved combined with boundary conditions of the plate, the modal function and velocity compatibility equations at the fluid-structure coupling surface. The accuracy of the theoretical predictions is checked against finite element results with good agreement achieved. The results show that not the physical parameters with variation of temperature but the thermal moments and membrane forces, cause the buckling phenomenon. It is noted that buckling phenomenon occurs not only in uniform temperature field but also in graded temperature distribution filed. The mechanism analysis about modal snap-through and losing phenomenon indicates that thermoacoustic loadings will affect the stiffness matrix and mass matrix of structure. With the increase of temperature, the lower modes of the plate are lost, the higher modes appear in advance, and the losing phenomenon occurs in accordance with the order.

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Prediction of statistical dynamics of thermally buckled composite panels

Cited by 11 publications

References 11 publications

Dynamic Snap-Through of Thin-Walled Structures by a Reduced-Order Method

Dynamic Snap-Through of Thin-Walled Structures by a Reduced-Order Method

Nonlinear dynamic response of a sandwich structure with flexible core in thermal environments

Archives of Thermodynamics

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