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Research Papers

Frequency Control of Beams and Cylindrical Shells With Light-Activated Shape Memory Polymers

[+] Author and Article Information
Huiyu Li

The State Key Laboratory of Fluid Power
Transmission and Control,
Department of Mechanical Engineering,
Zhejiang University,
Hangzhou, Zhejiang 310027, China

Hua Li

StrucTronics and Control Lab,
School of Aeronautics and Astronautics,
Zhejiang University,
Hangzhou, Zhejiang 310027, China

Hornsen Tzou

The State Key Laboratory of Fluid Power
Transmission and Control,
Department of Mechanical Engineering,
Zhejiang University,
Hangzhou, Zhejiang 310027, China
StrucTronics and Control Lab,
School of Aeronautics and Astronautics,
Zhejiang University,
Hangzhou, Zhejiang 310027, China

1Corresponding author.

Contributed by the Technical Committee on Vibration and Sound of ASME for publication in the JOURNAL OF VIBRATION AND ACOUSTICS. Manuscript received March 31, 2014; final manuscript received July 23, 2014; published online November 12, 2014. Assoc. Editor: Eugenio Dragoni.

J. Vib. Acoust 137(1), 011006 (Feb 01, 2015) (8 pages) Paper No: VIB-14-1116; doi: 10.1115/1.4028229 History: Received March 31, 2014; Revised July 23, 2014; Online November 12, 2014

Light activated shape memory polymer (LaSMP) is a novel smart material. It realizes the shape memory function under the exposure of laser lights with two different wavelengths. During the exposure process, the stiffness of LaSMPs also changes. With this noncontact actuation feature, this study presents a new technique to manipulate frequencies of beams and cylindrical shells. Fundamental LaSMP mechanism and its stiffness manipulation are presented first. The LaSMP/elastic coupled dynamic equations of cylindrical shells coupled with LaSMPs are established first and then simplified to the governing equation of beams. In case studies, the natural frequency of a cantilever beam laminated with LaSMP patches is studied. Furthermore, the length of LaSMP patches is varied to broaden its frequency variation range. Results show that the maximum frequency change ratio reaches to about 24.5% on beams. A simply supported cylindrical shell laminated with LaSMPs on both the inner and outer surfaces is also analyzed and its frequency varies about 6% for the lowest (1,4) mode. Thus, adopting LaSMPs to manipulate the structural frequencies is a new noncontact actuation technique in vibration controls.

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References

Figures

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Fig. 2

A cylindrical shell laminated with LaSMP layers

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Fig. 1

LaSMP under exposure of laser lights

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Fig. 3

The cross section of an LaSMP laminated cylindrical shell

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Fig. 7

Cantilever beam with variable-length LaSMP patches

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Fig. 6

Cantilever beam with LaSMP layers

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Fig. 13

Frequency variations during laser exposure process, (a) (1,4) mode, (b) (1,3) mode, and (c) (1,5) mode

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Fig. 4

An elastic beam laminated with LaSMP layers

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Fig. 5

Beam cross section with LaSMP layers

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Fig. 9

Frequency variation of the LaSMP fully laminated cantilever beam under light exposures

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Fig. 10

Variations of natural frequencies of the LaSMP laminated beam during laser exposures (a) m = 1, (b) m = 2, and (c) m = 3

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Fig. 11

Variations of natural frequencies of the beam with variable LaSMP lengths (L/5, 2L/5, 3L/5and 4L/5) during exposures, (a) m = 1, (b) m = 2, and (c) m = 3

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Fig. 8

Young's modulus of LaSMP formula EAS-155-93

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Fig. 12

Frequencies of the laminated cylindrical shell before and after laser exposures, (a) (m = 1, n = 1–10), (b) (m = 2, n = 1–10), and (c) (m = 3, n = 1–10)

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