0
Research Papers

# Vibration Damping in Structures With Layered Viscoelastic Beam-Plate

[+] Author and Article Information
Vincent O. Olunloyo1

Department Of Systems Engineering, Faculty Of Engineering, University Of Lagos, Lagos, Nigeriavosolunloyo@hotmail.com

Charles A. Osheku

Department Of Systems Engineering, Faculty Of Engineering, University Of Lagos, Lagos, Nigeria

O. Damisa

Mechanical Engineering Department, Faculty Of Engineering, University Of Lagos, Lagos, Nigeria

1

Corresponding author.

J. Vib. Acoust 130(6), 061002 (Oct 14, 2008) (26 pages) doi:10.1115/1.2980368 History: Received May 11, 2006; Revised June 18, 2008; Published October 14, 2008

## Abstract

Vibration and noise reduction in structures can significantly enhance dynamic stability. In fact, exploitation of such mechanisms can lead to an improvement of aerodynamic performance in flight motions by aircrafts, hydrodynamic performance in ocean water navigation by ships or floating structures, as well as dynamic behavior of machine structures in production processes and systems. In this paper slip damping with layered viscoelastic beam-plate structures for dissipation of vibration energy in aircraft, hydrodynamic, and machine structures is investigated analytically. For this problem, a boundary value partial differential equation is formulated via contact mechanics. In particular, the effect of interfacial pressure distribution variation at the interface of the layered structures on the energy dissipation and logarithmic damping decrement with such layered structures is analyzed and presented for design applications. This allows for a better understanding of the selection process of viscoelastic damping materials for such structures.

## Figures

Figure 1

(a) Coordinate axes and geometry for layered viscoelastic cantilever beam-plate of homogeneous material under a dynamic load. (b) Mechanism of interfacial slip geometry.

Figure 2

Energy dissipation profile for the Poisson ratio υ=0.35, frequency ratio η=0.5, ω=1000Hz, and μ¯=0.98

Figure 3

Energy dissipation profile for the Poisson ratio υ=0.35, frequency ratio η=0.85, ω=1000Hz, and μ¯=0.98

Figure 4

Energy dissipation profile for the Poisson ratio υ=0.35, frequency ratio η=1.0, ω=1000Hz, and μ¯=0.98

Figure 5

Energy dissipation profile for the Poisson ratio υ=0.35, frequency ratio η=1.5, ω=1000Hz, and μ¯=0.98

Figure 6

Energy dissipation profile for the Poisson ratio υ=0.35, frequency ratio η=2.5, ω=1000Hz, and μ¯=0.98

Figure 7

Energy dissipation profile for the Poisson ratio υ=0.35, frequency ratio η=0.01, ω=1Hz, and ε=0

Figure 8

Energy dissipation profile for the Poisson ratio υ=0.35, frequency ratio η=0.01, ω=1Hz, and ε=0

Figure 9

Energy dissipation profile for the Poisson ratio υ=0.35, frequency ratio η=0.01, ω=5Hz, and ε=0

Figure 10

Energy dissipation profile for the Poisson ratio υ=0.35, frequency ratio η=0.01, and ω=5Hz

Figure 11

Energy dissipation profile for the Poisson ratio υ=0.35, frequency ratio η=0.01, ω=10Hz, and ε=0

Figure 12

Energy dissipation profile for the Poisson ratio υ=0.35, frequency ratio η=0.05, ω=10Hz, and ε=0

Figure 13

Energy dissipation profile for the Poisson ratio υ=0.35, frequency ratio η=0.05, ω=100Hz, and ε=0

Figure 14

Energy dissipation profile for the Poisson ratio υ=0.35, frequency ratio η=0.85, ω=100Hz, and ε=0

Figure 15

Energy dissipation profile for the Poisson ratio υ=0.35, frequency ratio η=0.85, ω=1000Hz, and ε=0

Figure 16

Energy dissipation profile for the Poisson ratio υ=0.35, frequency ratio η=1.5, ω=1000Hz, and ε=0

Figure 17

Natural frequency profile for the Poisson ratio υ=0.35

Figure 18

Natural frequency profile for the Poisson ratio υ=0.35 and damping constant γ=0.01

Figure 19

Logarithmic damping decrement profile in dB for the case ω=log(500Hz); μ¯=0.1

Figure 20

Logarithmic damping decrement profile in dB for the case ω=log(500Hz); μ¯=0.8

Figure 21

Logarithmic damping decrement profile in dB for the case ω=log(1000Hz); μ¯=0.1

Figure 22

Logarithmic damping decrement profile in dB for the case

Figure 23

Logarithmic damping decrement profile in dB for the case ω=log(500Hz); μ¯=0.8ω=log(500Hz); μ¯=0.1

Figure 24

Logarithmic damping decrement profile in dB for the case ω=log(1000Hz); μ¯=0.1

Figure 25

Logarithmic damping decrement profile in dB for the case ω=log(1000Hz); μ¯=0.8

Figure 26

Logarithmic damping decrement profile for the case υ=0.35, μ¯=0.1, and η=0.01

Figure 27

Logarithmic damping decrement profile for the case υ=0.35, μ=0.8, and η=0.01

Figure 28

Logarithmic damping decrement profile for the case υ=0.35, μ¯=0.8, and η=0.85

Figure 29

Logarithmic damping decrement profile for the case υ=0.35, μ¯=0.8, and η=1.5

Figure 30

Logarithmic damping decrement profile for the case υ=0.35, μ¯=0.8, and η=1.5

Figure 31

Optimal energy dissipation profile for the case Poisson ratio υ=0.35 and frequency ratio η=0.01

Figure 32

Optimal energy dissipation profile for the case Poisson ratio υ=0.35 and frequency ratio η=0.05

Figure 33

Optimal energy dissipation profile for the case Poisson ratio υ=0.35 and frequency ratio η=2

Figure 34

Optimal energy dissipation profile for the case Poisson ratio υ=0.35 and frequency ratio η=3

## Errata

Some tools below are only available to our subscribers or users with an online account.

### Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related Proceedings Articles
Related eBook Content
Topic Collections
{"extraction_info": {"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mathtex.cgi": 0, "katex": 0, "math-container": 0, "wp-katex-eq": 0, "align": 0, "equation": 0, "x-ck12": 0, "texerror": 0, "math_score": 0.9637592434883118, "perplexity": 19007.38559346882}, "config": {"markdown_headings": true, "markdown_code": true, "boilerplate_config": {"ratio_threshold": 0.18, "absolute_threshold": 10, "end_threshold": 15, "enable": true}, "remove_buttons": true, "remove_image_figures": true, "remove_link_clusters": true, "table_config": {"min_rows": 2, "min_cols": 3, "format": "plain"}, "remove_chinese": true, "remove_edit_buttons": true, "extract_latex": true}, "warc_path": "s3://commoncrawl/crawl-data/CC-MAIN-2019-04/segments/1547583661083.46/warc/CC-MAIN-20190119014031-20190119040031-00077.warc.gz"}