Free vibration analysis of a porous functionally graded, truncated conical shell with a magneto-rheological fluid core

Abstract

Vibration absorbers are vital to resisting shocks in many structures. This study analyzed the effects of magnetic field, porosity and geometry on the natural frequency and loss factor of a conical shell made of smart porous materials. Natural frequency declined when the length, radius and thickness ratios increased. The loss factor and porosity coefficients increased concurrently. The magnetic intensity had little effect on the natural frequency. Increasing the apex angle or porosity, raised the loss factor but reduced the natural frequency. Raising the core’s top layer thickness reduced the natural frequency but increasing the L/R₁ or R₁/h ratio reduced the frequency.

Keywords:

• Conical shells
• free vibration
• general differential quadrature
• functionally-graded porous materials
• viscoelastic
• magneto-rheological core

Acknowledgements

The authors are thankful to the professors and staff of the Department of Mechanical Engineering, School of Engineering, Islamic Azad University, Arak Branch, Arak, Iran. The authors are highly grateful to Dr. Morteza Balak, Dept. of Mechanical Engineering, Islamic Azad University, and Professor Habib Eslami, Dept. of Aerospace Engineering, Embry Riddle Aeronautical University, Daytona Beach, FL, USA, for their excellent review and editing of the manuscript. This article was extracted from the PhD thesis of Meysam Alinejad, conducted at the Dept. of Mechanical Engineering, Islamic Azad University, Arak, Iran. The services of Medical Editors & Review Consultants International in Virginia, USA, is greatly appreciated for the extensive structuring and revision of the final version of the manuscript into native English grammar.

Authors’ contributions

The study’s concept and research protocol were developed by the first and second authors. Mr. Meysam Alinejad (PhD candidate) implemented all aspects of the study and analyzed the data in collaboration with Dr. Jafari, and with effective supervision and inputs from Dr. Najafizadeh. The three authors contributed fairly equally in drafting the initial and final Persian versions of the manuscript. Also, they reviewed and approved the entire contents of theEnglish manuscript prior to submission for publication.

Disclosure statement

The authors declare no conflict of interests with any internal or external entity in conducting this study.

Additional information

Funding

Finding for this study was provided by the first author.