Free vibrations of a partially clamped trapezoidal plate

Chen, T. Y.; Wang, W. R.; Ju, Jin-Won; Lee, S. Y.

doi:10.1007/bf02325834

Cited by 4 publications

(2 citation statements)

References 16 publications

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“…Mirza and Alizadeh (1994) employed the finite element method (FEM) based on the Mindlin plate theory to analyze the free vibration of right triangular orthotropic plates with partially supported boundaries. Chen et al (1995) also used holographic interferometry to measure the natural frequencies and mode shapes of partially clamped cantilever trapezoidal plates with different free-width ratios and sweep-back angles. Numerical calculations were performed to compare with the experimental results.…”

Section: Introductionmentioning

confidence: 99%

Free vibration investigations for the cantilever-symmetric and skew-symmetric trapezoidal plates with cracks

Huang

Hsu

2014

Journal of the Chinese Institute of Engineers

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Using the advantages of non-contact and full-field measurements, the optical technique called amplitude-fluctuation electronic speckle pattern interferometry (AF-ESPI) with out-of-plane setup is employed to investigate the free vibration of cantilever-symmetric and skew-symmetric trapezoidal plates with cracks. Three different types of crack locations will be discussed in detail in this study, one is along the middle chord line and the others are along the clamped edge. Prior to the study of cracked trapezoidal plates, a cantilever rectangular plate is used to carry out the AF-ESPI measurement, and then the experimental results are checked by theoretical and numerical calculations. Numerical calculations based on the finite element method are performed and compared with the experimental results, in which good agreement is obtained for resonant frequencies and mode shapes. Finally, the influences of crack length and location on the vibration behavior of the cracked trapezoidal plates are studied in terms of the dimensionless frequency parameter vs. the crack length ratio. With the aid of mode shape observation, the variation in resonant frequencies is specified; furthermore, it is found that the crack existence does not affect the resonant frequencies for some vibration modes.

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Section: Introductionmentioning

confidence: 99%

Free vibration investigations for the cantilever-symmetric and skew-symmetric trapezoidal plates with cracks

Huang

Hsu

2014

Journal of the Chinese Institute of Engineers

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“…Then with the aid of a dimensionless frequency parameter, the variation of experimental natural frequencies depending on the top/base ratio was shown graphically. Chen et al (1995) also used holographic interferometry to measure the natural frequencies and mode shapes of partially clamped cantilever trapezoidal plates with different free-width ratios and sweep-back angles. Numerical calculations were performed to compare with the experimental results.…”

Section: Introductionmentioning

confidence: 99%

Experimental and numerical investigations for the free vibration of cantilever trapezoidal plates

Huang¹,

Hsu

Lin

2006

Journal of the Chinese Institute of Engineers

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Based on the advantages of non-contact and full field measurement, the optical technique called amplitude-fluctuation electronic speckle pattern interferometry (AF-ESPI) with an out-of-plane setup is employed to investigate the free vibration of cantilever trapezoidal plates with various taper ratios and sweep-back angles. Twenty different plate configurations are analyzed, including triangular and trapezoidal plates, and the first seven vibration modes of each plate are measured. The AF-ESPI method is very convenient for measuring vibrating objects because no contact is required in contrast to classical modal analysis using accelerometers. Based on the fact that clear fringe patterns will appear only in resonance, both resonant frequencies and corresponding mode shapes can be obtained experimentally using the present technique. Numerical calculations by finite element method are also performed and the results are compared with the experimental measurements. Excellent agreements are obtained for both results of resonant frequencies and mode shapes. The influences of taper ratios and sweep-back angles on the vibration behavior of cantilever trapezoidal plates are also demonstrated in terms of the dimensionless frequency parameter.

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Finite element linear and nonlinear, static and dynamic analysis of structural elements: a bibliography (1992‐1995)

Mackerle

1997

Engineering Computations

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This bibliography provides a list of literature references on finite element analysis of basic structural elements. Presented listings contain papers published in scientific journals, conference proceedings, and theses/dissertations retrospectively to 1992. References have been retrieved from the author's database, MAKEBASE. They are grouped into the same sections as described in the first part of this paper, and sorted alphabetically according to the first author's name. In some cases, if a specific paper is relevant for several subject categories, the same reference is listed under respective section headings.Subjects not included in this bibliography: fracture mechanics problems; contact problems; thermal problems. References dealing with developments of various finite elements, stability problems and those analysing composite and concrete structures are included. Beams, columns, rods and bars (BEA)

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Free vibrations of a partially clamped trapezoidal plate

Cited by 4 publications

References 16 publications

Free vibration investigations for the cantilever-symmetric and skew-symmetric trapezoidal plates with cracks

Free vibration investigations for the cantilever-symmetric and skew-symmetric trapezoidal plates with cracks

Experimental and numerical investigations for the free vibration of cantilever trapezoidal plates

Finite element linear and nonlinear, static and dynamic analysis of structural elements: a bibliography (1992‐1995)

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