光响应液晶弹性体悬臂梁的自激振动分析

赵俊; 孙晓蝶; 赵晓敏; 严志权

doi:10.21656/1000-0887.450108

光响应液晶弹性体悬臂梁的自激振动分析

doi: 10.21656/1000-0887.450108

1.
安徽建筑大学土木工程学院，合肥 230601
2.
中铁十九局集团第六工程有限公司，江苏无锡 214000
3.
广州地铁建设管理有限公司，广州 510000

基金项目:

国家自然科学基金(面上项目) 12172001

安徽省高校省级自然科学研究项目 2024AH050237

详细信息

通讯作者:
赵俊(1983—)，男，副教授，博士，硕士生导师(通讯作者. E-mail: junzhao@ahjzu.edu.cn)

中图分类号: O321
计量
- 文章访问数: 43
- HTML全文浏览量: 13
- PDF下载量: 3
- 被引次数: 0
出版历程
- 收稿日期: 2024-04-19
- 修回日期: 2025-02-14
- 刊出日期: 2025-06-01

Self-Sustained Vibration of Optically Responsive Liquid Crystal Elastomer Cantilever Beams

1.
College of Civil Engineering, Anhui Jianzhu University, Hefei 230601, P.R.China
2.
China Railway Nineteenth Bureau Group Sixth Engineering Company Limited, Wuxi, Jiangsu 214000, P.R.China
3.
Guangzhou Metro Construction Management Company Limited, Guangzhou 510000, P.R.China

摘要

摘要: 研究了液晶弹性体(LCE)悬臂梁的光驱自持续弯曲振动现象，建立了光驱振动的动力学模型，利用振型叠加法得到其半解析公式，并利用MATLAB软件编程计算其动力学响应规律. 结果表明：在恒定光照作用下，可以实现LCE悬臂梁周期性自激振动响应；同时表明LCE梁弯曲振动的振幅可通过调节光强、阻尼系数和热弛豫时间来控制，而梁振动的频率主要取决于热弛豫时间. 研究结果在远程光驱驱动器、传感器、软微机器人和光能转换系统的设计等领域具有一定的指导意义.
- 液晶弹性体 /
- 自激振动 /
- 悬臂梁 /
- 光驱动
Abstract: The light-driven self-sustained bending vibration phenomenon of liquid crystal elastomer (LCE) cantilever beams was investigated, and the dynamics model for light-driven vibration was established, with the semi-analytical formula obtained with the method of vibration shape superposition, and the dynamic response laws calculated by the MATLAB software programming. The results show that, the periodic self-sustained vibration responses of the LCE cantilever beam can be realized under the action of constant light, which theoretically and reasonably explains previous experimental phenomena. Furthermore, the bending vibration amplitude of the LCE beam can be controlled through adjustment of the light intensity, the damping coefficient and the thermal relaxation time, and the beam vibration frequency mainly depends on the thermal relaxation time. This work is of significance in the engineering fields of remote light-driven actuators, sensors, soft micro-robots and light energy conversion systems.
- liquid crystal elastomer /
- self-sustained vibration /
- cantilever beam /
- light-driven

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图 1 LCE悬臂梁模型示意图

Figure 1. Schematic diagram of the LCE cantilever beam model

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图 2 运动时程曲线

注为了解释图中的颜色，读者可以参考本文的电子网页版本，后同.

Figure 2. The motion time histories

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图 3 初始角度影响

Figure 3. Initial angle influences

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图 4 光照强度影响

Figure 4. The effects of the light intensity

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图 5 阻尼因子影响

Figure 5. Damping factor influences

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图 6 热弛豫时间影响

Figure 6. The effects of the thermal relaxation time

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表 1 材料特性和几何参数

Table 1. Material properties and geometrical parameters

symbol	parameter	value	unit
T₀	thermal characteristic time	0.001~0.1	s
ρ	mass density	1 000	kg/m³
α	damping coefficient	1	kg/(s·m²)
l	length	0.01	m
h	thickness	0.000 1	m
d₀	penetration depth	0.000 01	m
E	elastic modulus	1 000	Pa
ν	Poisson’s ratio	0.5	-

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表 2 无量纲参数

Table 2. Dimensionless parameters

symbol	I	α	T₀
value	0.04~0.1	0.4~1.2	0.1~1

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