亲爱的研友该休息了!由于当前在线用户较少,发布求助请尽量完整地填写文献信息,科研通机器人24小时在线,伴您度过漫漫科研夜!身体可是革命的本钱,早点休息,好梦!

Non-linear vibration and dynamic instability of internally-thickness-tapered composite plates under parametric excitation

伽辽金法 振动 运动方程 不稳定性 边值问题 非线性系统 偏转(物理) 常微分方程 微分方程 数学 数学分析 材料科学 机械 经典力学 物理 量子力学
作者
Mehdi Darabi,Rajamohan Ganesan
出处
期刊:Composite Structures [Elsevier BV]
卷期号:176: 82-104 被引量:27
标识
DOI:10.1016/j.compstruct.2017.04.059
摘要

Internally-tapered composite plates are formed by terminating or dropping-off some of the plies in the laminates at pre-determined locations, which is an important method for stiffness tailoring and weight saving in these structures. In the present work, the dynamic instability of internally-thickness-tapered laminated composite plates subjected to harmonic in-plane loading is studied based on non-linear vibration analysis. The non-linear von Karman strains associated with large deflections and curvatures are considered. The in-plane displacements are determined from the two in-plane force-equilibrium equations of motion of non-linear large deflection tapered plate. Consequently, the in-plane force-resultants can be obtained from the in-plane displacements and further applying the boundary conditions. Then the general Galerkin method is used for the moment-equilibrium equation of motion to satisfy spatial dependence in the partial differential equation of motion to produce a set of non-linear Mathieu-Hill equations. These equations are ordinary differential equations, with time-dependency. By applying the Bolotin's method to these equations, the dynamically-unstable regions, stable-, and unstable-solutions amplitudes of the steady-state vibrations are obtained. The non-linear dynamic stability characteristics of symmetric cross-ply laminates with different taper configurations are examined. A comprehensive parametric study is carried out to examine and compare the effects of the taper angles, magnitudes of both tensile and compressive in-plane loads, aspect ratios of the tapered plate including length-to-width and length-to-average-thickness ratios on the instability regions and the parametric resonance particularly the steady-state vibrations amplitude. For linear vibrations, the present results show good agreement with that available in the literature which were obtained based on linear analysis.

科研通智能强力驱动
Strongly Powered by AbleSci AI
更新
PDF的下载单位、IP信息已删除 (2025-6-4)

科研通是完全免费的文献互助平台,具备全网最快的应助速度,最高的求助完成率。 对每一个文献求助,科研通都将尽心尽力,给求助人一个满意的交代。
实时播报
wodetaiyangLLL完成签到 ,获得积分10
7秒前
黑白完成签到 ,获得积分10
2分钟前
2分钟前
Qian完成签到 ,获得积分10
2分钟前
情怀应助Ying采纳,获得20
3分钟前
3分钟前
3分钟前
科研通AI5应助忧虑的安青采纳,获得10
3分钟前
juejue333完成签到,获得积分10
4分钟前
4分钟前
4分钟前
Ying发布了新的文献求助20
4分钟前
4分钟前
Betty发布了新的文献求助10
4分钟前
Betty完成签到,获得积分10
4分钟前
科目三应助科研通管家采纳,获得10
5分钟前
科研通AI2S应助科研通管家采纳,获得10
5分钟前
SciGPT应助科研通管家采纳,获得10
5分钟前
笨笨完成签到,获得积分10
5分钟前
5分钟前
5分钟前
思源应助嘿嘿嘿侦探社采纳,获得10
5分钟前
5分钟前
5分钟前
6分钟前
gyh发布了新的文献求助10
6分钟前
孤独的涵柳完成签到 ,获得积分10
6分钟前
6分钟前
gyh完成签到,获得积分20
6分钟前
6分钟前
科研通AI2S应助科研通管家采纳,获得30
7分钟前
Owen应助科研通管家采纳,获得10
7分钟前
科研通AI2S应助科研通管家采纳,获得10
7分钟前
7分钟前
7分钟前
7分钟前
搜集达人应助喜欢对你笑采纳,获得10
7分钟前
隐形曼青应助科研通管家采纳,获得10
9分钟前
科研通AI2S应助科研通管家采纳,获得10
9分钟前
老石完成签到 ,获得积分10
10分钟前
高分求助中
A new approach to the extrapolation of accelerated life test data 1000
Cognitive Neuroscience: The Biology of the Mind 1000
Technical Brochure TB 814: LPIT applications in HV gas insulated switchgear 1000
Immigrant Incorporation in East Asian Democracies 600
Nucleophilic substitution in azasydnone-modified dinitroanisoles 500
不知道标题是什么 500
A Preliminary Study on Correlation Between Independent Components of Facial Thermal Images and Subjective Assessment of Chronic Stress 500
热门求助领域 (近24小时)
化学 材料科学 医学 生物 工程类 有机化学 生物化学 物理 内科学 纳米技术 计算机科学 化学工程 复合材料 遗传学 基因 物理化学 催化作用 冶金 细胞生物学 免疫学
热门帖子
关注 科研通微信公众号,转发送积分 3968504
求助须知:如何正确求助?哪些是违规求助? 3513278
关于积分的说明 11167234
捐赠科研通 3248660
什么是DOI,文献DOI怎么找? 1794386
邀请新用户注册赠送积分活动 875030
科研通“疑难数据库(出版商)”最低求助积分说明 804638