Nonlinear random responses and fatigue prediction of elastically restrained laminated composite panels in thermo-acoustic environments

Wang, Yilong; Cao, Dengqing; Peng, Jiaqi; Cheng, Hao; Lin, Huanggang; Huang, Wenhu

doi:10.1016/j.compstruct.2019.111391

Cited by 15 publications

(3 citation statements)

References 32 publications

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“…Setting the blade as a cantilever structure, a specific structural equation of thermal buckling equilibrium is determined as Equation (9).…”

Section: Thermal Buckling Equilibrium Equation Of a Thin-walled Bladementioning

confidence: 99%

“…In Ref. [9], a thermal buckling equilibrium equation of rectangular thin plates was derived using thin plate small deflection theory, which predicted the uniform temperature change from the influence of material, size parameters and critical load. Research in this area proved that, for the rotating suspension panel system, the effect of thermal shock on the axial/radial deformations and stress distribution is very important, and all these can provide an important basis for judging blade instability.…”

Section: Introductionmentioning

confidence: 99%

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Study on Linear and Nonlinear Thermal Buckling Mode and Instability Characteristics for Engine Rotating Thin-Walled Blade

Men

Pan

Jiang³

et al. 2022

Applied Sciences

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The thermal shock load has an important effect on the stability of thin-walled blades under high-speed operation of aircraft engines. According to the actual working conditions, the linear interpolation distribution of blade temperature is obtained by the numerical fitting method. A thermal buckling model is built to obtain the linear and nonlinear modal response of the blade through the finite element method. The results show that the blade stiffness changes under the influence of thermal buckling and the obvious torsional deformations are produced along the radial direction of the blade. Meanwhile, the largest deformation of about 1.3 mm and stress of 81 Mpa occurs on the blade tip for both the linear and nonlinear response. The buckling stress distribution and critical load factor of thermal buckling are also calculated, consistent with the rubbing part of blade. The changing radial length is the main reason for the distance reduction between the blade and casing, causing more probability of friction impact. Therefore, reasonable local thermal buckling technology is helpful to improve the design level of thermal-shock loaded blades.

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“…Setting the blade as a cantilever structure, a specific structural equation of thermal buckling equilibrium is determined as Equation (9).…”

Section: Thermal Buckling Equilibrium Equation Of a Thin-walled Bladementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Study on Linear and Nonlinear Thermal Buckling Mode and Instability Characteristics for Engine Rotating Thin-Walled Blade

Men

Pan

Jiang³

et al. 2022

Applied Sciences

View full text Add to dashboard Cite

show abstract

“…Here we only focus on the in-plane vibration of the system. To obtain the electrical-mechanical coupling governing equations, Hamilton's principle is used [52,53]…”

Section: Theoretical Formulationsmentioning

confidence: 99%

A distributed-parameter electromechanical coupling model for a piezoelectric energy harvester with variable curvature

Wang

Yang

2020

Smart Mater. Struct.

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Enabling technologies for harvesting ambient vibration energy have attracted considerable attention in research communities from different disciplines in the last decades. Among the various devices, straight cantilever-based energy harvesters have been widely investigated from the perspective of designs, modeling, simulation and experiments. In this study, we propose curved piezoelectric energy harvesters (PEHs) with variable curvature to further broaden application scenarios. Within the framework of the Euler–Bernoulli beam theory, we develop a distributed-parameter electromechanical coupling model for a curved segmented unimorph with variable curvature by Hamilton’s Principle and solve it using the Rayleigh–Ritz method. The convergence and accuracy of the model are validated by finite element simulation and experiments. Based on the proposed model, we perform a systematic parameter study and discuss the effects of the proof mass, Young’s modulus of the substrate, the thickness ratio of the substrate to the total thickness, the curvature of the substrate and the piezo patch on the mechanical and electrical responses of the structures. The theoretical model will help engineers to design and optimize new PEHs and serve as a benchmark solution for future research in this field.

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On the geometrically nonlinear vibration of a piezo‐flexomagnetic nanotube

Malikan

Eremeyev

2020

Math Methods in App Sciences

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In order to describe the behavior of thin elements used in micro‐electro‐mechanical systems (MEMS) and nano‐electro‐mechanical systems (NEMS), it is essential to study a nonlinear free vibration of nanotubes under complicated external fields such as magnetic environment. In this regard, the magnetic force applied to the conductive nanotube with piezo‐flexomagnetic elastic wall is considered. By the inclusion of Euler‐Bernoulli beam and using Hamilton's principle, the equations governing the system are extracted. More importantly, a principal effect existed in a nonlinear behavior such as axial inertia is thoroughly analyzed which is not commonly investigated. We then consider the effects of nanoscale size using the nonlocal strain gradient theory (NSGT). Hereafter, the frequencies are solved as semianalytical solutions on the basis of Rayleigh‐Ritz method. The piezo‐flexomagnetic nanotube (PF‐NT) is calculated with different boundary conditions. In order to validate, the results attained from the present solution have been compared with those available in the open literature. We realized that the nonlinear frequency analysis is so significant when a nanotube has fewer degrees of freedom at both ends and its length is long.

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Nonlinear random responses and fatigue prediction of elastically restrained laminated composite panels in thermo-acoustic environments

Cited by 15 publications

References 32 publications

Study on Linear and Nonlinear Thermal Buckling Mode and Instability Characteristics for Engine Rotating Thin-Walled Blade

Study on Linear and Nonlinear Thermal Buckling Mode and Instability Characteristics for Engine Rotating Thin-Walled Blade

A distributed-parameter electromechanical coupling model for a piezoelectric energy harvester with variable curvature

On the geometrically nonlinear vibration of a piezo‐flexomagnetic nanotube

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