Open Access
Prabhat Mahawar,
Pankaj Sharma,
Jai Kumar Sharma,
- Research scholar, Department of Mechanical Engineering, Rajasthan Technical University, Kota, Rajasthan, India
- Assistant Professor, Department of Mechanical Engineering, Rajasthan Technical University, Kota, Rajasthan, India
- Assistant Professor, Department of Mechanical Engineering, ITM Gwalior, Madhya Pradesh, India
Abstract
The utilization of vibration analysis on the tapered beam significantly enhances the engineering investigation and design process. It is notable that the width of the tapered beam exhibits variation along its length, while the height remains constant. Experimental modal testing aims to determine modal factors such as natural frequency, damping, and mode shapes. A comparative study is presented in this paper, examining the vibrational characteristics of tapered beams composed of copper, stainless steel, and Copper-Aluminium composite under different boundary conditions. Both experimental and numerical approaches are employed for this purpose. The excitation of the beam is achieved using an impact hammer, while a laser vibrometer captures the ensuing response. Signal conversion from the time domain to the frequency domain is carried out using the Fast Fourier Transform in MATLAB software. A comparison is made between the experimental findings and the numerical results generated by COMSOL 5.6v, a finite element modeling software. Investigation and analysis of the modal properties of the tapered beams, particularly its natural frequency and mode shape, are essential for enhancing design robustness.
Keywords: Tapered beam, Modal analysis, Laser Vibrometer, Composite, Impact hammer.
[This article belongs to Special Issue under section in Journal of Polymer and Composites (jopc)]
Prabhat Mahawar, Pankaj Sharma, Jai Kumar Sharma. Vibration Characteristics of Copper-Aluminium Composite under Different Boundary Conditions: Experiment and Simulation. Journal of Polymer and Composites. 2024; 13(01):190-203.
Prabhat Mahawar, Pankaj Sharma, Jai Kumar Sharma. Vibration Characteristics of Copper-Aluminium Composite under Different Boundary Conditions: Experiment and Simulation. Journal of Polymer and Composites. 2024; 13(01):190-203. Available from: https://journals.stmjournals.com/jopc/article=2024/view=188009
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References
- Madhusudan S, Sarcar MM, Rao NB. Mechanical properties of Aluminum-Copper (p) composite metallic materials. Journal of applied research and technology. 2016 Oct;14(5):293-9. H, Schell KHW. “Aluminum-Copper Alloys,” in ASM Handbook Volume 2: Properties and Selection: Nonferrous Alloys and Special-Purpose Materials, ASM International, 1990, pp. 230-245.
- Mills K, Wang G, StJohn D, Dargusch M. Ultrasonic processing of aluminum–magnesium alloys. Materials. 2018 Oct 16;11(10):1994.
- Bravo Bénard AE, Martínez Hernández D, González Reyes JG, Ortiz Prado A, Schouwenaars Franssens R. Synthesis, characterization and cold workability of cast copper-magnesium-tin alloys. Metallurgical and Materials Transactions A. 2014 Feb;45:555-62.
- Kar A, Sharma A, Kumar S. A critical review on recent advancements in aluminium-based metal matrix composites. Crystals. 2024 Apr 28;14(5):412.
- Dong S, Li L, Zhang D. Vibration analysis of rotating functionally graded tapered beams with hollow circular cross-section. Aerospace Science and Technology. 2019 Dec 1;95:105476.
- Banerjee JR, Ananthapuvirajah A. Free flexural vibration of tapered beams. Computers & Structures. 2019 Nov 1;224:106106.
- Boiangiu M, Ceausu V, Untaroiu CD. A transfer matrix method for free vibration analysis of Euler-Bernoulli beams with variable cross section. Journal of Vibration and Control. 2016 Jun;22(11):2591-602.
- Bhattacharya S, Das D. Free vibration analysis of bidirectional-functionally graded and double-tapered rotating micro-beam in thermal environment using modified couple stress theory. Composite Structures. 2019 May 1;215:471-92.
- Mehrparvar M, Majak J, Karjust K, Arda M. Free vibration analysis of tapered Timoshenko beam with higher order Haar wavelet method. Proceedings of the Estonian Academy of Sciences. 2022;71(1):77-83.
- El-Sayed TA, El-Mongy HH. Application of variational iteration method to free vibration analysis of a tapered beam mounted on two-degree of freedom subsystems. Applied Mathematical Modelling. 2018 Jun 1;58:349-64.
- Ece MC, Aydogdu M, Taskin V. Vibration of a variable cross-section beam. Mechanics Research Communications. 2007 Jan 1;34(1):78-84.
- Singh R, Sharma P. Vibration analysis of an axially functionally graded material non-prismatic beam under axial thermal variation in humid environment. Journal of Vibration and Control. 2022 Dec;28(23-24):3608-21.
- Huang M, Ma XQ, Sakiyama T, Matuda H, Morita C. Free vibration analysis of orthotropic rectangular plates with variable thickness and general boundary conditions. Journal of Sound and Vibration. 2005 Dec 20;288(4-5):931-55.
- Šalinić S, Obradović A, Tomović A. Free vibration analysis of axially functionally graded tapered, stepped, and continuously segmented rods and beams. Composites Part B: Engineering. 2018 Oct 1;150:135-43.
- Tian J, Zhang Z, Hua H. Free vibration analysis of rotating functionally graded double-tapered beam including porosities. International Journal of Mechanical Sciences. 2019 Jan 1;150:526-38.
- Lee JW. Free vibration analysis of tapered Rayleigh beams using the transfer matrix method. Journal of the Brazilian Society of Mechanical Sciences and Engineering. 2020 Nov;42(11):612.
- Attarnejad R, Semnani SJ, Shahba A. Basic displacement functions for free vibration analysis of non-prismatic Timoshenko beams. Finite Elements in Analysis and Design. 2010 Oct 1;46(10):916-29.
- Yavuz MT, Özkol İ. Free vibration analysis of a rotating double tapered beam with flexible root via differential quadrature method. Aircraft Engineering and Aerospace Technology. 2021 Aug 5;93(5):900-14.
- Ghuku S, Saha KN. Theoretical and experimental free vibration analysis of a loaded curved beam with moving boundaries: vibration analysis of beam with moving boundaries. International Journal of Manufacturing, Materials, and Mechanical Engineering (IJMMME). 2019 Oct 1;9(4):44-67.
- Han Y, Zhou X, Wang L, Cai CS, Yan H, Hu P. Experimental investigation of the vortex-induced vibration of tapered light poles. Journal of Wind Engineering and Industrial Aerodynamics. 2021 Apr 1;211:104555.
- Das P, Sahu SK. Free vibration analysis of industry-driven woven fiber laminated carbon/epoxy composite beams by experimental and numerical approach. Polymers and Polymer Composites. 2021 Nov;29(9_suppl):S1371-85.
- Miguel FL, Miguel FL, Thomas KC. Theoretical and experimental modal analysis of a cantilever steel beam with a tip mass. Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science. 2009 Jul 1;223(7):1535-41.
- Prashant SW, Chougule VN, Mitra AC. Investigation on modal parameters of rectangular cantilever beam using experimental modal analysis. Materials Today: Proceedings. 2015 Jan 1;2(4-5):2121-30.
- Bertini L, Neri P, Santus C, Guglielmo A. Automated experimental modal analysis of bladed wheels with an anthropomorphic robotic station. Experimental Mechanics. 2017 Feb;57:273-85.
- Sharma JK. Theoretical and experimental modal analysis of beam. InEngineering Vibration, Communication and Information Processing: ICoEVCI 2018, India 2019 (pp. 177-186). Springer Singapore.
- Sharma JK, Parashar SK. Experimental Investigation Using Laser Vibrometer and Finite Element Modeling for Modal Analysis of Camshaft. InEngineering Vibration, Communication and Information Processing: ICoEVCI 2018, India 2019 (pp. 121-129). Springer Singapore.
- Sharma JK, Parashar SK. Experimental modal analysis using laser vibrometer and finite element modeling of milling machine arbor. SN Applied Sciences. 2019 Jun;1:1-0.
- Parashar SK, Von Wagner U, Hagedorn P. Finite element modeling of nonlinear vibration behavior of piezo-integrated structures. Computers & Structures. 2013 Apr 1;119:37-47.
- RAVI PD, Seshu DR. A study on dynamic characteristics of structural materials using modal analysis.
- Chandrawanshi A, Bhaiyat S, Jain A, Babu AA, Sudhagar PE, Vasudevan R. Free Vibration Analysis of a Width Tapered Laminated Composite Beam. Applied Mechanics and Materials. 2014 Sep 5;592:2046-50.
- Sokol M, Sismisova Z. Laboratory Tests on Composite Beam-Accuracy of Modal Analysis Results. InIOP Conference Series: Materials Science and Engineering 2019 Sep 1 (Vol. 603, No. 3, p. 032035). IOP Publishing.
- Badagi VK. Dynamic response of width-and thickness-tapered composite beams using Rayleigh-Ritz method and modal testing (Doctoral dissertation, Concordia University).
- Jayalin D, Prince Arulraj G, Karthika V. Analysis of composite beam using Ansys. International Journal of Research in Engineering and Technology. 2015 Aug;4(9):11-5.
- Nandwani S, Vardhan S, Bahl S, Yadav AK, Samyal R, Bagha AK. Evaluating the dynamic characteristics of microwave-casted metal matrix composite material by using experimental modal analysis. Proceedings of the Institution of Mechanical Engineers, Part E: Journal of Process Mechanical Engineering. 2023 Feb 28:09544089231158921.
- Chawla N. METAL MATRIX COMPOSITES. Advanced Materials & Processes. 2006 Jul 1;164(7).
- Arumugam AB, Rajendra CO, Edwin Sudhagar P, Rajamohan V, Kumbhar SG, Perumal A. Thermal buckling analysis of tapered laminated composite beam: Numerical and experimental investigation. Polymer Composites. 2022 Nov;43(11):7992-8006.
- Mohanty PK, Patel RK. Free Vibration Analysis of Laminated Composite Tapered Beam. InCurrent Advances in Mechanical Engineering: Select Proceedings of ICRAMERD 2020 2021 (pp. 85-92). Springer Singapore.
- Dubecky D, Kvocak V, Weissova M. Experimental Analysis of Composite Beams. Advanced Materials Letters. 2022 Jul 1;13(3).

Journal of Polymer & Composites
| Volume | 13 |
| Special Issue | 01 |
| Received | 02/08/2024 |
| Accepted | 14/08/2024 |
| Published | 06/12/2024 |
| Publication Time | 126 Days |
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