Investigation of stiffness derivatives of a wedge for varying wedge angles and pivot positions at hypersonic Mach numbers

Shaikh, Javed Shoukat and Kumar, Krishna and Pathan, Khizar Ahmed and Khan, Sher Afghan and Siddiqui, Afreen and Garg, Shalini (2025) Investigation of stiffness derivatives of a wedge for varying wedge angles and pivot positions at hypersonic Mach numbers. Journal of Advanced Research in Applied Mechanics, 135 (1). pp. 193-205. ISSN 2289-7895

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Abstract

The current investigation focuses on numerically simulating the stiffness derivative across a wedge by varying Mach numbers and wedge angles at different pivot points. The simulation of the stiffness derivative utilizes an approach based on regression model analysis. The analytical results draw upon Ghosh's two-dimensional piston theory. This research considers the Mach number, wedge angle, and pivot position as factors. This study's Mach number (M) ranges from 5.0 to 10. 0 while the wedge angle (θ) varies between 3° and 30°. The stiffness derivative findings are obtained for Mach numbers (M) and angles of incidence (θ) at several pivot positions (h) spanning from 0. 0 to 1.0. The findings of this study regarding stiffness derivatives are compared to the analytical results. There is a strong alignment between the current research results and the analytical findings. It is observed that parameters such as pivot position (h), wedge angle (θ), and Mach number (M) play a significant role in influencing the variations of the stiffness derivative. The stiffness derivative consistently increases with the angle of incidence (θ) and

Item Type:	Article (Journal)
Uncontrolled Keywords:	Mach number; hypersonic flow; angle of incidence; shock wave; stiffness derivative
Subjects:	T Technology > TL Motor vehicles. Aeronautics. Astronautics > TL780 Rockets
Kulliyyahs/Centres/Divisions/Institutes (Can select more than one option. Press CONTROL button):	Kulliyyah of Engineering > Department of Mechanical Engineering Kulliyyah of Engineering
Depositing User:	Prof. Dr. Sher Afghan Khan
Date Deposited:	08 May 2025 17:09
Last Modified:	08 May 2025 17:09
URI:	http://irep.iium.edu.my/id/eprint/120893

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