Vibration Isolation of A Symmetric Rigid Plate Using Pair Pre-bent Struts with Intermediate Bonded Filler at Each Corner under Static and Dynamic Axial Excitation

Document Type : Original Article

Authors

1 Port-Said University Department of Production Engineering

2 Professor, Production Engineering and Mechanical Design Department, Faculty of Engineering, Port Said University, Port Said, Egypt

3 Alexandria University Department of Production Engineering Faculty of Engineering

4 Teacher, Mechanical Department, Faculty of Engineering, Suez Canal University, Ismailia, Egypt

Abstract

The objective of this paper is to study the influence of vibration isolators in the form of post-buckled elastic struts. A mathematical model is introduced consisting of pre-bent post-buckled pairs strut with intermediate bonded filler acting as vibration isolators supporting a symmetric rigid plate. The model is subject to axial harmonic excitation at the base, and allowed to displace laterally with respect to axial center line of plate. The displacement transmissibility is the governing parameter of the isolator's effectiveness. The transmissibility is calculated over a wide range of frequencies and plotted in form of design charts. These plots showed the ranges of frequencies, at which isolation can be maintained. The system resonance frequencies can be easily depicted from design graphs. The present study reveals that at resonance frequencies the most effective transmissibility is well below unity. Vibration characteristics are determined under specific frequencies such that the physical behavior of the system can be thoroughly analyzed. All variables used are normalized, such that the results aren’t dependent on any material or geometric property, such as the modulus of elasticity of the material, section modulus of the used profile, or the length of the strut. In this way, the obtained results can be applied over a wide range of elastic materials, regardless of the type of material or section properties.