Analysis of stiffened plates by the boundary element method

Wutzow, Wilson Wesley; Paiva, João Batista de

doi:10.1016/j.enganabound.2007.06.005

Cited by 4 publications

(2 citation statements)

References 12 publications

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“…Bruback and Hellesland (2008) using semi-analytical large deflection analysis studied the strength criterion, both in local and global bending, of stiffened plates under in-plane loading. Wutzow and Paiva (2008) employed integral equations and boundary element method (BEM) to perform a linear analysis of stiffened plates.…”

Section: Introductionmentioning

confidence: 99%

Large Amplitude Forced Vibration Analysis of Stiffened Plates Under Harmonic Excitation

Mitra

Sahoo

Saha

2011

International Journal of Manufacturing, Materials, and Mechanical Engineering

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Large amplitude forced vibration behaviour of stiffened plates under harmonic excitation is studied numerically incorporating the effect of geometric non-linearity. The forced vibration analysis is carried out in an indirect way in which the dynamic system is assumed to satisfy the force equilibrium condition at peak excitation amplitude. Large amplitude free vibration analysis of the same system is carried out separately to determine the backbone curves. The mathematical formulation is based on energy principles and the set of governing equations for both forced and free vibration problems derived using Hamilton’s principle. Appropriate sets of coordinate functions are formed by following the two dimensional Gram-Schmidt orthogonalization procedure to satisfy the corresponding boundary conditions of the plate. The problem is solved by employing an iterative direct substitution method with an appropriate relaxation technique and when the system becomes computationally stiff, Broyden’s method is used. The results are furnished as frequency response curves along with the backbone curve in the dimensionless amplitude-frequency plane. Three dimensional operational deflection shape (ODS) plots and contour plots are provided in a few cases.

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Section: Introductionmentioning

confidence: 99%

Large Amplitude Forced Vibration Analysis of Stiffened Plates Under Harmonic Excitation

Mitra

Sahoo

Saha

2011

International Journal of Manufacturing, Materials, and Mechanical Engineering

View full text Add to dashboard Cite

show abstract

“…Bruback and Hellesland (2008) studied the strength criterion, both in local and global bending, of stiffened plates under in-plane loading, using semi-analytical large deflection analysis. Wutzow and Paiva (2008) employed integral equations and the boundary element method (BEM) to perform a linear analysis of stiffened plates. Sapountzakis and Mokos (2008) presented a general solution for the analysis of plates stiffened by arbitrarily placed parallel beams of arbitrary doubly symmetric cross section with deformable connections subjected to an arbitrary loading.…”

Section: Introductionmentioning

confidence: 99%

Large Displacement of Crossbeam Structure through Energy Method

Mitra¹,

Sahoo²,

Saha³

2012

Int J Automot Mech Eng

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This paper undertakes a geometric nonlinear large displacement static analysis of crossbeam structure. A crossbeam structure comprises two beams in contact with their longitudinal axes perpendicular to each other, used effectively in civil and mechanical engineering, marine and aerospace structures. The energy method forms the basis for the mathematical formulation and the governing set of equations are obtained using the principle of extremisation of the total energy of the system in its equilibrium state. To obtain the solution, an iterative procedure is developed based on the reaction force generated between the two beams of the system. The method is validated by experiment and simulation through ANSYS v11. Results are presented in terms of plots of reaction force and the displacement of the interaction point versus load in dimensional form and additionally, the deflected shapes of the crossbeam structure at static equilibrium condition, under a particular load, are provided. The static response of the system has been studied for variation of beam thickness, loading pattern and position of the supporting beam.

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An efficient BEM formulation for analysis of bond-line cracks in thin walled aircraft structures

Pisa

2012

Int J Fract

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Analysis of stiffened plates by the boundary element method

Cited by 4 publications

References 12 publications

Large Amplitude Forced Vibration Analysis of Stiffened Plates Under Harmonic Excitation

Large Amplitude Forced Vibration Analysis of Stiffened Plates Under Harmonic Excitation

Large Displacement of Crossbeam Structure through Energy Method

An efficient BEM formulation for analysis of bond-line cracks in thin walled aircraft structures

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