Dynamic Analysis of a Tapered Composite Thin-Walled Rotating Shaft Embedded with SMA Wires Using the Generalized Differential Quadrature Method

Dynamic Analysis of a Tapered Composite Thin-Walled Rotating Shaft Embedded with SMA Wires Using the Generalized Differential Quadrature Method

A dynamical model is developed for the tapered composite thin-walled rotating shaft with shape memory alloy (SMA) wires embedded in. The SMA wires are embedded at an interlayer of the shaft and arranged along the conical surface of the tapered composite shaft. Recovery stresses generated during the...

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Main Authors: Weiyan Zhong, Feng Gao, Yongsheng Ren, Xiaoxiao Wu, Hongcan Ma
Format: Article
Language:English
Published: Hindawi Limited 2020-01-01
Series:Shock and Vibration
Online Access:http://dx.doi.org/10.1155/2020/3453298
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spelling doaj-6f041321f47b4eee8f2a7e1ca284794d2020-11-25T02:52:01ZengHindawi LimitedShock and Vibration1070-96221875-92032020-01-01202010.1155/2020/34532983453298Dynamic Analysis of a Tapered Composite Thin-Walled Rotating Shaft Embedded with SMA Wires Using the Generalized Differential Quadrature MethodWeiyan Zhong0Feng Gao1Yongsheng Ren2Xiaoxiao Wu3Hongcan Ma4College of Mechanical and Electronic Engineering, Shandong University of Science and Technology, Qingdao 266590, ChinaCollege of Mechanical and Electronic Engineering, Shandong University of Science and Technology, Qingdao 266590, ChinaCollege of Mechanical and Electronic Engineering, Shandong University of Science and Technology, Qingdao 266590, ChinaCollege of Mechanical and Electronic Engineering, Shandong University of Science and Technology, Qingdao 266590, ChinaCollege of Mechanical and Electronic Engineering, Shandong University of Science and Technology, Qingdao 266590, ChinaA dynamical model is developed for the tapered composite thin-walled rotating shaft with shape memory alloy (SMA) wires embedded in. The SMA wires are embedded at an interlayer of the shaft and arranged along the conical surface of the tapered composite shaft. Recovery stresses generated during the phase transformation are calculated based on one-dimensional Brinson’s model. The governing equations are obtained based on a refined variational asymptotic method (VAM) and Hamilton’s principle. The partial differential equations of motion are reduced to the ordinary differential governing equations by using the generalized differential quadrature method (GDQM). Numerical results of natural frequencies and critical speeds are obtained. The effects of the fraction of SMA wires, the initial strain of SMA wires, temperature, ply angle, taper ratio, boundary conditions, and rotating speed on the frequency characteristics are investigated.http://dx.doi.org/10.1155/2020/3453298
collection DOAJ
language English
format Article
sources DOAJ
author Weiyan Zhong
Feng Gao
Yongsheng Ren
Xiaoxiao Wu
Hongcan Ma
spellingShingle Weiyan Zhong
Feng Gao
Yongsheng Ren
Xiaoxiao Wu
Hongcan Ma
Dynamic Analysis of a Tapered Composite Thin-Walled Rotating Shaft Embedded with SMA Wires Using the Generalized Differential Quadrature Method
Shock and Vibration
author_facet Weiyan Zhong
Feng Gao
Yongsheng Ren
Xiaoxiao Wu
Hongcan Ma
author_sort Weiyan Zhong
title Dynamic Analysis of a Tapered Composite Thin-Walled Rotating Shaft Embedded with SMA Wires Using the Generalized Differential Quadrature Method
title_short Dynamic Analysis of a Tapered Composite Thin-Walled Rotating Shaft Embedded with SMA Wires Using the Generalized Differential Quadrature Method
title_full Dynamic Analysis of a Tapered Composite Thin-Walled Rotating Shaft Embedded with SMA Wires Using the Generalized Differential Quadrature Method
title_fullStr Dynamic Analysis of a Tapered Composite Thin-Walled Rotating Shaft Embedded with SMA Wires Using the Generalized Differential Quadrature Method
title_full_unstemmed Dynamic Analysis of a Tapered Composite Thin-Walled Rotating Shaft Embedded with SMA Wires Using the Generalized Differential Quadrature Method
title_sort dynamic analysis of a tapered composite thin-walled rotating shaft embedded with sma wires using the generalized differential quadrature method
publisher Hindawi Limited
series Shock and Vibration
issn 1070-9622
1875-9203
publishDate 2020-01-01
description A dynamical model is developed for the tapered composite thin-walled rotating shaft with shape memory alloy (SMA) wires embedded in. The SMA wires are embedded at an interlayer of the shaft and arranged along the conical surface of the tapered composite shaft. Recovery stresses generated during the phase transformation are calculated based on one-dimensional Brinson’s model. The governing equations are obtained based on a refined variational asymptotic method (VAM) and Hamilton’s principle. The partial differential equations of motion are reduced to the ordinary differential governing equations by using the generalized differential quadrature method (GDQM). Numerical results of natural frequencies and critical speeds are obtained. The effects of the fraction of SMA wires, the initial strain of SMA wires, temperature, ply angle, taper ratio, boundary conditions, and rotating speed on the frequency characteristics are investigated.
url http://dx.doi.org/10.1155/2020/3453298
work_keys_str_mv AT weiyanzhong dynamicanalysisofataperedcompositethinwalledrotatingshaftembeddedwithsmawiresusingthegeneralizeddifferentialquadraturemethod
AT fenggao dynamicanalysisofataperedcompositethinwalledrotatingshaftembeddedwithsmawiresusingthegeneralizeddifferentialquadraturemethod
AT yongshengren dynamicanalysisofataperedcompositethinwalledrotatingshaftembeddedwithsmawiresusingthegeneralizeddifferentialquadraturemethod
AT xiaoxiaowu dynamicanalysisofataperedcompositethinwalledrotatingshaftembeddedwithsmawiresusingthegeneralizeddifferentialquadraturemethod
AT hongcanma dynamicanalysisofataperedcompositethinwalledrotatingshaftembeddedwithsmawiresusingthegeneralizeddifferentialquadraturemethod
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