Free Vibration Characteristics of Single-Degree-of-Freedom (SDOF) Mechanical Systems: Investigating through Theory, Experimentation and Numerical Simulation |Chapter 3 | Engineering Research: Perspectives on Recent Advances Vol. 7

The study of free vibration is pivotal in understanding and predicting the dynamic behaviour of mechanical systems, enabling engineers to optimise designs, ensure structural integrity, and enhance performance. In this study, the primary goal is to investigate the free vibration characteristics of a single-degree-of-freedom (SDOF) mechanical system. The objectives include determining the system's natural frequency, damping ratio, and analysing its transient behaviour during free vibrations. This study employs a combination of theoretical analysis, numerical simulations using Simulink, and experimental observations to achieve these objectives. The Sanderson simple vibration apparatus was used for the study. Several important parameters, such as the damping ratio, the damping constant, the critical damping constant, the logarithmic decrement, and how different setups affect the results, were analysed. Numerical results provide insights into the dynamic response, revealing critical system behaviours such as damping effects. The observation of this study also highlights the crucial role of damping in controlling and mitigating vibrations. Such behaviour is of paramount importance in engineering applications where the control of oscillations is essential for system stability and performance. The discussion contextualises the findings within the realm of mechanical engineering principles, emphasising practical implications. In conclusion, this study offers an understanding of SDOF system dynamics, with applications in engineering design and analysis.

 

Author (s) Details

Abdullah Al Hossain Newaz
Department of Mechanical Engineering, University of Bridgeport, Bridgeport, 06604, USA.

 

Rudra Mitra
Department of Computer Science, University of Bridgeport, USA.

 

Refat Jahan
Department of Mechanical Engineering, University of New Haven, USA.

 

Abdul Kadir
Department of Analytics and System, University of Bridgeport, USA.

 

 

Please see the book here:- https://doi.org/10.9734/bpi/erpra/v7/5456

FGP Beam Using Higher Order Shear Deformation Theory - Numerical Vibrational Analysis | Chapter 1 | Theory and Applications of Engineering Research Vol. 1

 Functionally Graded Materials, that are heterogeneous and progressive materials, are composed of steadily varying distributions of two or more constituent developments. Their volume or pressure proportion, direction, and shape can all influence the phase disposal differently. A meaningful portion of functionally graded matters are affected by pores. By gradually extending the dispersion of pores from the surface to the interior, it is likely to incorporate abundant features. This study employs a after second-order shear deformity theory to specify the free vibration behaviour of two functionally graded absorbent beams subjected to differing boundary environments. These are simply supported (SS), clamped-clamped (CC), and clamped-free (CF). The material possessions of the beam reveal exponentially switching patterns in both guidances. Utilizing Hamilton's approach allowed for the study of the free vibration response. These equatings of motion are derived to reach this objective. Cross section axial, transverse, and capable of rotating deflections are expressed using polynomial verbalizations. These forms also hold auxiliary functions that are employed to appease the boundary conditions. Verification and union investigations are transported utilising the calculated judgments from a previous research. Findings of these cases are presented to facilitate an understanding of the suggestions of varying slope indices, facet ratios, and boundary environments on the free vibration reactions of two-directional functionally graded absorbent beams are found to be in appropriate.

Author(s) Details:

Geetha N. K.,
Department of Mathematics, Dayananda Sagar College of Engineering, Bengaluru-560111, India and Faculty of Computer Science and Multimedia, Lincoln University College, Malaysia.

Vivekanandam B.,
Faculty of Computer Science and Multimedia, Lincoln University College, Malaysia.

Seshibe Makgato,
Department of Chemical Engineering, College of Science, Engineering and Technology, University of South Africa (UNISA), C/o Christiaan de Wet & Pioneer Avenue, Florida Campus, 1710, Johannesburg, South Africa.

Bridjesh Pappula,
Department of Chemical Engineering, College of Science, Engineering and Technology, University of South Africa (UNISA), C/o Christiaan de Wet & Pioneer Avenue, Florida Campus, 1710, Johannesburg, South Africa.

Please see the link here: https://stm.bookpi.org/TAER-V1/article/view/12555

Vibrational and Finite Element Analyses of T-Section Cantilever Beam Using ANSYS and MATLAB: A Recent Study | Chapter 1 | New Approaches in Engineering Research Vol. 10

 A beam is a structural component that is acted upon by a system of perpendicular external forces. When vertical loads are applied to a horizontal beam, it bends. The amount and kind of weight carried by a beam, as well as the length and type of beam, define the amount of load carried. T, HSS, and L shaped beams are just a few of the many options for industrial and residential use. The most prevalent challenges and failures with beams include fatigue failures, vibrations, and inaccurate evaluations of various qualities. This paper discusses the impact of vibrations on T-Section Cantilever beams and frequency modes. As a consequence, the mode shapes and natural frequencies obtained through vibrational analysis in ANSYS are compared to the results obtained through finite element analysis in MATLAB in order to achieve a thorough understanding of T-Section Cantilever beams. The accuracy of the MATLAB results has been validated.

Author (S) Details

G. Sree Bhavani Charan
Cyient Ltd, India.

G. Naga Malleswara Rao
Eswar College Of Engineering, India.

View Book :- https://stm.bookpi.org/NAER-V10/article/view/2977