Free Vibration of Longitudinally Stiffened Curved Panels With Cutout

Sivasubramonian, B.; Rao, G. Venkateswara; Krishnan, A.

doi:10.1006/jsvi.1999.2281

Cited by 49 publications

(14 citation statements)

References 16 publications

(19 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Stiffened plates are lightweight, high-strength structural elements, commonly used in ships, aircrafts, submarines, offshore drilling rigs, pressure vessels, bridges, and roofing units [19,21]. Most of these structures are required to operate in dynamic environments.…”

Section: Introductionmentioning

confidence: 99%

Vibration analysis of stiffened plates using finite element method

Hamedani

Khedmati

Azkat

2012

Lat. Am. j. solids struct.

View full text Add to dashboard Cite

This paper presents the vibration analysis of stiffened plates, using both conventional and super finite element methods. Mindlin plate and Timoshenko beam theories are utilized so as to formulate the plate and stiffeners, respectively. Eccentricity of the stiffeners is considered and they are not limited to be placed on nodal lines. Therefore, any configuration of plate and stiffeners can be modeled. Numerical examples are proposed to study the accuracy and convergence characteristics of the super elements. Effects of various parameters such as the boundary conditions of the plate, along with orientation, eccentricity, dimensions and number of the stiffeners on free vibration characteristics of stiffened panels are studied.

show abstract

Section: Introductionmentioning

confidence: 99%

Vibration analysis of stiffened plates using finite element method

Hamedani

Khedmati

Azkat

2012

Lat. Am. j. solids struct.

View full text Add to dashboard Cite

show abstract

“…(22) leads to an eigenvalue problem which gives the natural frequencies and eigenvectors of the system, where j is the imaginary unit and ω represents the angular frequency. The mode shape corresponding to each natural frequency is obtained from the following equation: (24) where l represents the order of the mode. It should be noted here that when using the assumed mode method, the orthogonal polynomials corresponding to the property of the target model should be applied to achieve accurate analysis.…”

Section: Outline Of the Assumed Mode Methodsmentioning

confidence: 99%

“…Sivasubramonian et al [23] studied the effect of curvature and hole size on square panels with different boundary conditions applied to the shell element having seven degrees of freedom per node. Sivasubramonian et al [24] also applied the same finite element to both stiffened and unstiffened plate with holes and presented comparative results. Recently, Srivastava [25] applied the finite element method to the vibration analysis of stiffened panels with a single hole and different boundary conditions, under partial edge loading.…”

Section: Introductionmentioning

confidence: 99%

Simplified Procedure For The Free Vibration Analysis Of Rectangular Plate Structures With Holes And Stiffeners

Cho

Vladimir

Choi³

2015

Polish Maritime Research

View full text Add to dashboard Cite

Thin and thick plates, plates with holes, stiffened panels and stiffened panels with holes are primary structural members in almost all fields of engineering : civil, mechanical, aerospace, naval, ocean etc. In this paper, a simple and efficient procedure for the free vibration analysis of such elements is presented. It is based on the assumed mode method and can handle different plate thickness, various shapes and sizes of holes, different framing sizes and types as well as different combinations of boundary conditions. Natural frequencies and modes are determined by solving an eigenvalue problem of a multi-degree-of-freedom system matrix equation derived by using Lagrange's equations. Mindlin theory is applied for a plate and Timoshenko beam theory for stiffeners. The applicability of the method in the design procedure is illustrated with several numerical examples obtained by the in-house developed code VAPS.Very good agreement with standard commercial finite element software is achieved.

show abstract

“…Chakravorty et al [8] reported some results in order to study the effect of concentric cutout on natural frequency of different shell options. In 1999, Sivasubramonian et al [9] studied the free vibration characteristics of longitudinally stiffened square panels with symmetrical square cutouts by using the finite element method. The size of the cutout (symmetrically located) as well as curvature of the panels is varied.…”

Section: Introductionmentioning

confidence: 99%

Behaviour and Optimization Aids of Composite Stiffened Hypar Shell Roofs with Cutout under Free Vibration

Sahoo¹

2012

ISRN Civil Engineering

View full text Add to dashboard Cite

A scrutiny of the literature reveals that the free vibration characteristics of stiffened composite hypar shell with cutout are missing. So a generalized finite element formulation for the stiffened hyperbolic paraboloidal shells bounded by straight edges (commonly called as hypar shells) is attempted using an eight-noded curved quadratic isoparametric element for shell with a three-noded beam element for stiffener. Numerical problems of earlier investigators are solved as benchmark problems to validate the approach. A number of problems are further solved by varying the size of the cutouts and their positions with respect to the shell centre for different edge constraints. The results are presented in the form of figures and tables. The results are further analysed to suggest guidelines to select optimum size and position of the cutout with respect to shell centre considering the different practical constraints.

show abstract

Free Vibration of Longitudinally Stiffened Curved Panels With Cutout

Cited by 49 publications

References 16 publications

Vibration analysis of stiffened plates using finite element method

Vibration analysis of stiffened plates using finite element method

Simplified Procedure For The Free Vibration Analysis Of Rectangular Plate Structures With Holes And Stiffeners

Behaviour and Optimization Aids of Composite Stiffened Hypar Shell Roofs with Cutout under Free Vibration

Contact Info

Product

Resources

About