Dynamic stability of rotating cantilever composite thin walled twisted plate with initial geometric imperfection under in-plane load

Gu, X.J.; Hao, Yuxin; Zhang, W.; Chen, Jie

doi:10.1016/j.tws.2019.106267

Cited by 37 publications

(5 citation statements)

References 52 publications

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“…Cao et al [9] investigated the vibration characteristics of aero-engine turbine blades with thermal barrier coatings and validated the results using the finite element method. To address the dynamic instability problem, Gu et al [10] conducted a parametric investigation on the critical buckling load of a blade with initial geometrical defects. Singha et al [11,12] employed the finite element method to study the effects of heat and moisture absorption on the free vibration characteristics of composite sandwich conical shells.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear dynamics of rotating functionally graded graphene platelets/titanium alloy trapezoid plates under 1:3 internal resonance

Fan,

Chen

2024

Preprint

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Although rotating blades are designed to operate diverging from structural frequencies, internal resonance also occurs under certain rotation speeds that greatly affect the stiffness of the blades. Therefore, a detailed investigation of the resonance mechanisms of rotating blades, especially those introduced by nonlinearities, is of great importance in structural design and optimization. A dynamic model of a functionally graded graphene/titanium alloy composite trapezoid plate is established to investigate the nonlinear dynamics of a rotating blade with varying cross-sections. The ordinary differential equations of the plate are established based on the energy method and Lagrange equations. The occurrence of one to three internal resonance for the trapezoid plate is identified through the analysis of linear and nonlinear free vibrations. Then, the steady-state responses of the rotating plate in the case of 1:3 internal resonance are numerically calculated and verified by the approximation solution of the method of multiple scales. Parametric studies are conducted to investigate the effects of the rotation speed, taper ratio, excitation amplitude and excitation frequency on the amplitude‒frequency and amplitude‒force curves.

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Section: Introductionmentioning

confidence: 99%

Nonlinear dynamics of rotating functionally graded graphene platelets/titanium alloy trapezoid plates under 1:3 internal resonance

Fan,

Chen

2024

Preprint

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“…The natural frequencies, the critical buckling loads, dynamic stability of composite structures were examined in this study. Dynamic stability of rotating cantilever composite thin walled twisted plate with initial geometric imperfection under in-plane load were investigated by Gu et al [20]. Sayer [21] investigated dynamic stabiliy of cracked composite plates by using the finite element method In this paper, the effects of ply angles, static and dynamic load parameters, and crack location on the dynamic instability region of cracked composite plates subjected to periodic axial loading have been investigated by using the finite element method.…”

Section: Introductionmentioning

confidence: 99%

Dynamic Stability of Cracked Composite Plates

SAYER¹,

Öztürk

Yeni

et al. 2022

Bilecik Şeyh Edebali Üniversitesi Fen Bilimleri Dergisi

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Bu çalışmada, sonlu elemanlar yöntemi kullanılarak periyodik eksenel yüklemeye maruz kalan çatlaklı kompozit plakaların dinamik kararsızlık bölgesi sayısal olarak incelenmiştir. Klasik laminasyon teorisine dayanan kompozit plaka, sonlu elemanlar yöntemi kullanılarak modellenmiştir. Kompozit plakanın sınır şartlarının bir taraftan sabitlendiği, diğer tarafların serbest olduğu varsayılmaktadır. Kompozit plaka, her biri dört düğüme sahip kare plaka elemanlarına bölünmüştür. Her düğümün bir vektörel ve iki dönme serbestlik derecesine sahiptir, bu yüzden bu kare plaka elemanlar on iki serbestlik derecesine sahiptir. Plakanın dinamik kararsızlık bölgesi hesaplamak için kullanılan Mathieu-Hill tipi hareket denklemi, Lagrange denkleminden elde edilen enerji ifadeleri kullanılarak oluşturulmuştur. Geliştirilen MATLAB sonlu elemanlar kodu kullanılarak çatlağın kompozit plakalar için dinamik kararsızlık bölgesi üzerindeki etkisi incelenmiştir.

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“…The free vibrations of a rotating pretwisted beam under the axial loading were studied by Ondra and Titurus [19]. Gu et al [20] presented a shallow shell model to investigate the dynamic stability of a rotating twisted plate considering the initial imperfection. Using the couple model, Zhao et al [21] researched the free vibration of a rotating pretwisted blade-shaft reinforced by graphene platelets.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear vibrations of rotating pretwisted composite blade reinforced by functionally graded graphene platelets under combined aerodynamic load and airflow in tip clearance

Zhang

2021

Nonlinear Dyn

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The primary resonance and nonlinear vibrations of the functionally graded graphene platelet (FGGP) reinforced rotating pretwisted composite blade under combined the external and multiple parametric excitations are investigated with three different distribution patterns. The FGGP reinforced rotating pretwisted composite blade is simplified to the rotating pretwisted composite cantilever plate reinforced by the functionally graded graphene platelet. It is novel to simplify the leakage of the air flow in the tip clearance to the non-uniform axial excitation. The rotating speed of the steady-state adding a small periodic perturbation is considered. The aerodynamic load subjecting to the surface of the plate is simulated as the transverse excitation. Utilizing the first-order shear deformation theory, von-Karman nonlinear geometric relationship, Lagrange equation and mode functions satisfying the boundary conditions, three-degree-of-freedom nonlinear ordinary differential equations of motion are derived for the FGGP reinforced rotating pretwisted composite cantilever plate under combined the external and multiple parametric excitations. The primary resonance and nonlinear dynamic behaviors of the FGGP reinforced rotating pretwisted composite cantilever plate are analyzed by Runge-Kutta method. The amplitude-frequency response curves，force-frequency response curves, bifurcation diagrams, maximum Lyapunov exponent, phase portraits, waveforms and Poincare map are obtained to investigate the nonlinear dynamic responses of the FGGP reinforced rotating pretwisted composite cantilever plate under combined the external and multiple parametric excitations.

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Dynamic stability of rotating cantilever composite thin walled twisted plate with initial geometric imperfection under in-plane load

Cited by 37 publications

References 52 publications

Nonlinear dynamics of rotating functionally graded graphene platelets/titanium alloy trapezoid plates under 1:3 internal resonance

Nonlinear dynamics of rotating functionally graded graphene platelets/titanium alloy trapezoid plates under 1:3 internal resonance

Dynamic Stability of Cracked Composite Plates

Nonlinear vibrations of rotating pretwisted composite blade reinforced by functionally graded graphene platelets under combined aerodynamic load and airflow in tip clearance

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