The large amplitude response of functionally graded non-uniform and imperfect nanotube

2021 ◽  
pp. 1-24
Author(s):  
Duquan Zuo ◽  
Guoling Ma ◽  
Yuejie Cao ◽  
Changchun Zhou ◽  
Jinjie Luo
Keyword(s):  
Large Amplitude ◽  
Functionally Graded ◽  
Amplitude Response

scholarly journals Vibration of thermally postbuckled FG-GRC laminated plates resting on elastic foundations

2019 ◽  
Vol 25 (9) ◽  
pp. 1507-1520 ◽  
Author(s):  
Hui-Shen Shen ◽  
Y Xiang ◽  
Yin Fan
Keyword(s):  
Large Amplitude ◽  
Plate Theory ◽  
Micromechanical Model ◽  
Functionally Graded ◽  
Laminated Plates ◽  
Perturbation Approach ◽  
Elastic Foundations ◽  
Vibration Responses ◽  
Uniform Temperature Field ◽  
Thermal Postbuckling

This paper investigates the small- and large-amplitude vibrations of thermally postbuckled graphene-reinforced composite (GRC) laminated plates resting on elastic foundations. The piecewise GRC layers are arranged in a functionally graded (FG) pattern along the thickness direction of the plate. The anisotropic and temperature-dependent material properties of the FG-GRC layers are estimated through the extended Halpin–Tsai micromechanical model. Based on the Reddy's higher order shear deformation plate theory and the von Kármán strain–displacement relationships, the motion equations of the plates are derived. The foundation support, the thermal effect, and the initial deflection caused by thermal postbuckling are also included in the derivation. A two-step perturbation approach is applied to determine the thermal postbuckling equilibrium paths as well as the nonlinear vibration solutions for the FG-GRC laminated plates. The numerical illustrations concern small- and large-amplitude vibration characteristics of thermally postbuckled FG-GRC laminated plates under a uniform temperature field. The effects of graphene reinforcement distributions and foundation stiffnesses on the vibration responses of FG-GRC laminated plates are examined in detail.

Optimization of Piezoelectric Uniflex Microactuators

2009 ◽  
Author(s):  
Hareesh K. R. Kommepalli ◽  
Christopher D. Rahn ◽  
Srinivas A. Tadigadapa
Keyword(s):  
Large Amplitude ◽  
Piezoelectric Actuators ◽  
Small Strain ◽  
Large Displacement ◽  
Relative Performance ◽  
Analytical Models ◽  
Amplitude Response ◽  
Rf Switches ◽  
Controlled Motion

Microactuators provide controlled motion and force for applications ranging from RF switches to rate gyros. Large amplitude response in piezoelectric actuators requires amplification of their small strain. This paper studies the performance of a uniflex actuator in terms of its displacement and blocking force compared to uniflex and flextensional actuators. A uniflex microactuator combines the strain amplification mechanisms of a unimorph and flexural motion to produce large displacement and blocking force. Analytical models for displacement and blocking force for all the three actuators are used in optimization, to study their relative performance. The uniflex actuator outperforms both unimorph and flextensional actuators in displacement, but, the unimorph actuator generates more blocking force. The uniflex actuator can therefore be used in applications that demand higher displacement and lower blocking force compared to a unimorph actuator.

Amplitude Incremental Method: A Novel Approach to Capture Stable and Unstable Solutions of Harmonically Excited Vibration Response of Functionally Graded Beams under Large Amplitude Motion

2019 ◽  
Vol 20 (5) ◽  
pp. 581-594 ◽  
Author(s):  
B. Panigrahi ◽  
G. Pohit
Keyword(s):  
Large Amplitude ◽  
Harmonic Balance Method ◽  
Functionally Graded ◽  
Vibration Response ◽  
Algebraic Equations ◽  
Unstable Solution ◽  
Linear Algebraic Equations ◽  
Excited Vibration ◽  
Non Linear ◽  
Large Amplitude Motion

AbstractAn interesting phenomenon is observed while conducting numerical simulation of non-linear dynamic response of FGM (functionally graded material) beam having large amplitude motion under harmonic excitation. Instead of providing a frequency sweep (forward or backward), if amplitude is incremented and response frequency is searched for a particular amplitude of vibration, solution domain can be enhanced and stable as well as unstable solution can be obtained. In the present work, first non-linear differential equations of motion for large amplitude vibration of a beam, which are obtained using Timoshenko beam theory, are converted into a set of non-linear algebraic equations using harmonic balance method. Subsequently an amplitude incremental iterative technique is imposed in order to obtain steady-state solution in frequency amplitude plane. It is observed that the method not only shows very good agreement with the available research but the domain of applicability of the method is enhanced up to a considerable extent as the stable and unstable solution can be captured. Subsequently forced vibration response of FGM beams are analysed.

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