Free Vibration Analysis of a Six-degree-of-freedom Mass-spring System Suitable for Dynamic Vibration Absorbing of Space Frames

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REZAIEE PAJAND M.; AFTABI SANI A.; Hozhabrossadati s.m.

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Journal Paper

Paper Information

Journal: International Journal of Engineering Year:2017 | Volume:30 | Issue:1 (TRANSACTIONS A: Basics) Page(s): 30-39

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Title

Free Vibration Analysis of a Six-degree-of-freedom Mass-spring System Suitable for Dynamic Vibration Absorbing of Space Frames

Author(s)

REZAIEE PAJAND M. | AFTABI SANI A. | Hozhabrossadati s.m. | Issue Writer Certificate

Keywords

Space Frame

Dynamic Vibration Absorber

Vibration Analysis

Six-Degree-of-freedom Mass-spring System

Exact Solution

Finite Element Solution

Abstract

This study is concentrated on the natural frequencies and mode shapes of a simple three-member Space Frame coupled with a Dynamic Vibration Absorber. The Dynamic Vibration Absorber is modeled as a sixdegree-of-freedom mass-spring system. For the first time, the free vibration of an elastic structure with a Six-Degree-of-freedom Mass-spring System is found. Each member of the Space Frame has uniform mechanical and geometrical properties, but these may differ from one member to another. The exact result of this complex problem is obtained via analytical scheme and finite element method. All effects of the axial and torsional deformations and also in-and out-of-plane bending are taken into account. This formulation includes eighteen differential equations along with thirty six boundary and compatibility conditions. Comparison of the results by both approaches mentioned above, illustrates the accuracy of our solutions. Findings are useful benchmarks for the natural frequencies and mode shapes of the Space Frame coupled with a Dynamic Vibration Absorber.

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APA: Copy

REZAIEE PAJAND, M., AFTABI SANI, A., & Hozhabrossadati, s.m.. (2017). Free Vibration Analysis of a Six-degree-of-freedom Mass-spring System Suitable for Dynamic Vibration Absorbing of Space Frames. INTERNATIONAL JOURNAL OF ENGINEERING, 30(1 (TRANSACTIONS A: Basics)), 30-39. SID. https://sid.ir/paper/723252/en

Vancouver: Copy

REZAIEE PAJAND M., AFTABI SANI A., Hozhabrossadati s.m.. Free Vibration Analysis of a Six-degree-of-freedom Mass-spring System Suitable for Dynamic Vibration Absorbing of Space Frames. INTERNATIONAL JOURNAL OF ENGINEERING[Internet]. 2017;30(1 (TRANSACTIONS A: Basics)):30-39. Available from: https://sid.ir/paper/723252/en

IEEE: Copy

M. REZAIEE PAJAND, A. AFTABI SANI, and s.m. Hozhabrossadati, “Free Vibration Analysis of a Six-degree-of-freedom Mass-spring System Suitable for Dynamic Vibration Absorbing of Space Frames,” INTERNATIONAL JOURNAL OF ENGINEERING, vol. 30, no. 1 (TRANSACTIONS A: Basics), pp. 30–39, 2017, [Online]. Available: https://sid.ir/paper/723252/en

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