Journal of Applied Science and Engineering

Published by Tamkang University Press


Impact Factor



Rajib Karmaker1This email address is being protected from spambots. You need JavaScript enabled to view it., Md. Rashedul Islam2, Ujjwal Kumar Deb3

1Department of Mathematics, University of Chittagong , Chattogram, Bangladesh

2Department of Computer Science and Engineering, International Islamic University Chittagong, Chattogram, Bangladesh

1,2,3Department of Mathematics, Chittagong University of Engineering and Technology, Bangladesh


Received: May 14, 2023
Accepted: August 25, 2023
Publication Date: October 5, 2023

 Copyright The Author(s). This is an open access article distributed under the terms of the Creative Commons Attribution License (CC BY 4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are cited.

Download Citation: ||  

Complex structures can develop cracks and defects over time, which can compromise their long-term performance and safety. Structural Health Monitoring (SHM) systems are essential for detecting and measuring these defects by monitoring the load and deformation of the solid materials. This paper presents a simulation study of the frequency and strength of solid cylindrical bars made of aluminum and steel under different loads and crack conditions. Finite Element Method (FEM) and COMSOL Multiphysics software are used to perform the simulation, and a resonance model is used to analyze the results. The study investigates how cracks affect the frequency and deformation of the bars, and how different materials respond to load and bending. The results show that frequency varies linearly with load, cracks decrease the stiffness and increase the frequency at the crack location, and aluminum bars deform more than steel bars. The paper concludes that steel bars are more resistant to load and bending than aluminum bars for both cracked and uncracked case. Finally, it is found that steel bars are more resistant to load and bending than aluminum bars for both cracked and uncracked case.

Keywords: Structural Health Monitoring, Load, Crack detection, Deflection, FEM.

  1. [1] A. Priyadarshini. “Identification of Cracks in Beams using Vibrational Analysis". (mathesis). National Institute of Technology, Rourkela-769008, 2013.
  2. [2] L. Rubio, (2009) “An Efficient Method for Crack Identification in Simply Supported Euler–Bernoulli Beams" ASME Journal of Vibration and Acoustics 131: 051001–6. DOI: 10.1115/1.3142876.
  3. [3] S. Taylor and D. Zimmerman, (2010) “Improved Experimental Ritz Vector Extraction with Application to Damage Detection" ASME Journal of Vibration and Acoustics 132: 011010–12. DOI: 10.1115/1.4000762.
  4. [4] M. S. Young and J. Chung, (2000) “A study on crack detection using eigen frequency test data" Journal of Computers and Structures 77: 327–342.
  5. [5] G. Owolabi, A. Swamidas, and R. Seshadri, (2003) “Crack detection in beams using changes in frequencies and amplitudes of frequency response functions" Journal of Sound and Vibration 265: 1–22. DOI: 10.1016/S0022- 460X(02)01264-6.
  6. [6] R. Karmaker, U. Deb, and A. Das, (2020) “Modeling and Simulation of a Cracked Beam with Different Location Using FEM" Computational Water, Energy, and Environmental Engineering 9: 145–158.
  7. [7] I. Goda, J. Ganghoffer, and M. Aly. “Parametric Study on the Free Vibration Response of Laminated Composite Beams”. In: Mechanics of Nano, Micro and Macro Composite Structures. Politecnico di Torino, 2012, 18–20.
  8. [8] R. Rizos, N. Aspragathos, and A. Dimarogonas, (1990) “Identification of crack location and magnitude in a cantilever beam from the vibration modes" Journal of Sound and Vibration 138(3): 381–388. DOI: 10.1016/0022-460X(90)90593-O.
  9. [9] M. Kisa, J. Brandon, and M. Topcu, (1998) “Free vibration analysis of cracked beams by a combination of finite elements and component mode synthesis methods" Journal of Computers and Structures 67: 215–223. DOI: 10.1016/S0045-7949(98)00056-X.
  10. [10] C. Ratcliffe, (1997) “Damage detection using a modified Laplacian operator on mode shape data" Journal of Sound and Vibration 204(3): 505–517. DOI: 10.1006/jsvi.1997.0961.
  11. [11] A. Dimarogonas, (1996) “Vibration of cracked structures: a state of the art review" Engineering Fracture Mechanics 55(5): 831–857. DOI: 10.1016/0013-7944(94)00175-8.
  12. [12] A. Shukla, A. Singh, and P. Singh, (2011) “A Comparative Study of Finite Volume Method and Finite Difference Method for Convection-Diffusion Problem" American Journal of Computational and Applied Mathematics 1(2): 67–73. [13] G. Irwin, (1956) “Analysis of stresses and strains near the end of a crack transverse in a plate" Journal of Applied Mechanics 24: 361–364.
  13. [14] COMSOL Multiphysics. COMSOL Inc. 2021.
  14. [15] M. Khan, K. Akhtar, N. Ahmad, et al., (2020) “Vibration analysis of damaged and undamaged steel structure systems: cantilever column and frame" Earthquake Engineering and Engineering Vibration 19: 725–737. DOI: 10.1007/s11803-020-0591-9.



69th percentile
Powered by  Scopus

SCImago Journal & Country Rank

Enter your name and email below to receive latest published articles in Journal of Applied Science and Engineering.