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Frontiers in Emerging Engineering & Technologies

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A Comparative Analysis Of Free Vibration In Stiffened Versus Unstiffened Plates

Authors

  • Prof. Clara Johansson Division of Applied Mechanics, Chalmers University of Technology, Gothenburg, Sweden
  • Prof. Ingrid Dahlberg Department of Structural Engineering, Lund University, Lund, Sweden

Keywords:

Stiffened plate structures, Free vibration, Finite element analysis, Natural frequency

Abstract

This study presents a comprehensive investigation into the free vibration characteristics of stiffened plate structures, which are commonly used in aerospace, marine, and civil engineering applications. By employing analytical and finite element methods, the influence of various stiffener configurations, boundary conditions, and material properties on the natural frequencies and mode shapes of the plate structures was evaluated. The results demonstrate that both the orientation and geometry of stiffeners significantly affect the dynamic behavior, offering potential for tailored vibration performance in engineering design. The findings also highlight the accuracy of numerical simulations in capturing complex vibrational responses when validated against analytical models.

References

Akl W, El-Sabbagh A, Baz A (2008) Optimization of the static and dynamic characteristics of plates with isogrid stiffeners. Finite Elem Anal Des 44(8):513–523

Aksu G, Ali R (1976) Free vibration analysis of stiffened plates using finite difference method. J Sound Vib 48(1):15–25

Balendra T, Shanmugam NE (1985) Free vibration of plated structures by grillage method. J Sound Vib 99(3):333–350

Barik M, Mukhopadhyay M (2002) A new stiffened plate element for the analysis of arbitrary plates. Thin-Walled Struct 40(7):625–639

Barrette M, Berry A, Beslin O (2000) Vibration of stiffened plates using hierarchical trigonometric functions. J Sound Vib 235(5):727–747

Bhimaraddi A, Carr AJ, Moss PJ (1989) Finite element analysis of laminated shells of revolution with laminated stiffeners. Comput Struct 33(1):295–305

Chen CJ, Liu W, Chern SM (1994) Vibration analysis of stiffened plates. Comput Struct 50(4):471–480

Cho D, Vladimir N, Choi T (2015) Natural vibration analysis of stiffened panels with arbitrary edge constraints using the assumed mode method. Proc Inst Mech Eng Part M J Eng Marit Environ 229:340–349

Dharaneepathy MV, Sudhesh KG (1990) Optimal stiffening of square plates subjected to air-blast loading. Comput Struct 36(5):891–899

Filiatrault A, Folz B, Foschi RO (1990) Finite-strip free-vibration analysis of wood floors. J Struct Eng 116(8):2127–2142

Gupta BVR, Ganesan N, Narayanan S (1986) Finite element free vibration analysis of damped stiffened panels. Comput Struct 24(3):485–489

Hamedani SJ, Khedmati MR, Azkat S (2012) Vibration analysis of stiffened plates using finite element method. Lat Am J Solids Struct 9(1):1–20

Harik IE, Guo M (1993) Finite element analysis of eccentrically stiffened plates in free vibration. Comput Struct 49(6):1007–1015

Holopainen TP (1995) Finite element free vibration analysis of eccentrically stiffened plates. Comput Struct 56(6):993–1007

Huang L, Sheikh AH, Ng C-T, Griffith MC (2015) An efficient finite element model for buckling analysis of grid stiffened laminated composite plates. Compos Struct 122:41–50

Kirk CL (1970) Natural frequencies of stiffened rectangular plates. J Sound Vib 13(4):375–388

Koko TS, Olson MD (1992) Vibration analysis of stiffened plates by super elements. J Sound Vib 158(1):149–167

Mukherjee A, Mukhopadhyay M (1986) A review of dynamic behaviour of stiffened plates. Shock Vib Dig 18(6):3–8

Mukherjee A, Mukhopadhyay M (1988) Finite element free vibration of eccentrically stiffened plates. Comput Struct 30(6):1303–1317

Mukhopadhyay M, Mukherjee A (1989) Recent advances on the dynamic behaviour of stiffened plates. Shock Vib Dig 21(4):6–9

Nayak AN, Bandyopadhyay JN (2002) Free vibration analysis and design aids of stiffened conoidal shells. J Eng Mech 128(4):419–427

Nguyen-Thoi T, Bui-Xuan T, Phung-Van P et al (2013) Static, free vibration and buckling analyses of stiffened plates by CS-FEM-DSG3 using triangular elements. Comput Struct 125:100–113

Olson MD, Hazell CR (1977) Vibration studies on some integral rib-stiffened plates. J Sound Vib 50(1):43–61

Palani GS, Iyer NR, Rao TA (1993) An efficient finite element model for static and vibration analysis of plates with arbitrarily located eccentric stiffeners. J Sound Vib 166(3):409–427

Rajanna T, Banerjee S, Desai YM, Prabhakara DL (2016) Effects of partial edge loading and fibre configuration on vibration and buckling characteristics of stiffened composite plates. Lat Am J Solids Struct 13:854–879

Shi P, Kapania RK, Dong CY (2015) Vibration and buckling analysis of curvilinearly stiffened plates using finite element method. AIAA J 53:1319–1335

Srivastava AKL (2012) Vibration of stiffened plates with cutout subjected to partial edge loading. J Inst Eng Ser A 93:129–135

Srivastava AKL, Datta PK, Sheikh AH (2003a) Buckling and vibration of stiffened plates subjected to partial edge loading. Int J Mech Sci 45:73–93

Srivastava AKL, Datta PK, Sheikh AH (2003b) Dynamic instability of stiffened plates subjected to non-uniform harmonic in-plane edge loading. J Sound Vib 262:1171–1189

Srivastava AKL, Datta PK, Sheikh AH (2004) Transverse vibration of stiffened plates with cutouts subjected to in-plane uniform edge loading at the plate boundary. Shock Vib 11:9–19

Srivastava AKL, Datta PK, Sheikh AH (2005) Dynamic stability of stiffened plates with cutout subjected to harmonic in-plane partial edge loading. Int J Crashworthiness 10:403–417

Srivastava AKL, Pandey SR, Kumar A (2013) Dynamical analysis of stiffened plates under patch loading. Int J Appl Mech Eng 18:537–553

Vörös GM (2009) Buckling and free vibration analysis of stiffened panels. Thin-Walled Struct 47(4):382–390

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Published

2025-01-01

How to Cite

Prof. Clara Johansson, & Prof. Ingrid Dahlberg. (2025). A Comparative Analysis Of Free Vibration In Stiffened Versus Unstiffened Plates. Frontiers in Emerging Engineering & Technologies, 2(01), 1–5. Retrieved from https://irjernet.com/index.php/feet/article/view/110