Analysis of stiffened plates under lateral loading using sequential quadratic programming (SQP)

Bedair, Osama

doi:10.1016/s0045-7949(96)00281-7

Cited by 30 publications

(31 citation statements)

References 3 publications

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“…However, with increase in the stiffener number, the number of subdomains increases and as each subdomain has a grid of ng × ng reference points, the computations become extensive. A comparison of the deflected shape of a simply supported (SSSS) square plate with one stiffener under UDL generated through the present method is carried out with results furnished by [Bedair 1997a]. The details of the plate geometry and the material properties are furnished in Figure 6, left, and the results are generated for a uniformly distributed load of 1.0 psi.…”

Section: Resultsmentioning

confidence: 99%

Large-amplitude dynamic analysis of stiffened plates with free edges

Mitra

Sahoo

Saha

2011

J. Mech. Mater. Struct.

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Large-amplitude free-vibration analysis of stiffened plates subjected to uniformly distributed transverse loading with free flexural boundary conditions is presented. The free edge is taken with different combinations of clamped and simply supported end conditions for three types of stiffened plates classified according to number and orientation of stiffeners. The computational domain is divided into an adequate number of subdomains based on the number, orientation, and location of stiffeners to generate the appropriate grid of computation points. Nonlinear strain displacement relations are considered in the formulation but the effects of shear deformation have been neglected. The analysis involves two steps. First the static displacement field of the system is solved for. The second step takes up the freevibration analysis on the basis of the known static displacement field. The mathematical formulation of the static problem is based on the principle of minimum potential energy, whereas Hamilton's principle has been applied for the dynamic analysis. The results are validated with the published results of other researchers. The dynamic behavior is presented in the form of backbone curves in a dimensionless frequency-amplitude plane. Three-dimensional mode shape plots are also presented along with contour plots in a few specific cases.A list of symbols can be found on page 911.

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Section: Resultsmentioning

confidence: 99%

Large-amplitude dynamic analysis of stiffened plates with free edges

Mitra

Sahoo

Saha

2011

J. Mech. Mater. Struct.

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“…Equations (2) and (5) indicate that there must exist some value of the plate-parameter (A) beyond which failure mode of the stiffened plate transforms from the global collapse to a local collapse mechanism. This value of the plateparameter constitutes the upper limit of plate-parameter (A c2 ) and it has been given in (6). The value of the beam strength parameter of the plate system corresponding to A c2 is called critical beam strength parameter [30] (α bc ) and it has been given is given in (7).…”

Section: Formulation Of Design Equationsmentioning

confidence: 99%

“…The stiffened plate can be proportioned for any value of the plate-parameter (A) from the valid range, defined by (6) and (8). The moment-field in the stiffened plate under a uniform load of 10 kN/m2 (0.3 psi) is given in Table 1 and this has been compared with the results from the output from a finite element analysis.…”

Section: Examplementioning

confidence: 99%

“…A number of analytical investigations are reported in the literature to describe the behavior of stiffened plates [1][2][3][4][5][6][7][8][9]. Most of these studies had attempted to formulate expressions based upon elastic theory of plates: boundary element method, finite element method, and so forth, and these expressions are mathematically too cumbersome that these rarely find applications in routine design office jobs.…”

Section: Introductionmentioning

confidence: 99%

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Designing Laterally Loaded RC Stiffened Plates: Energy Balance Concept

Singh

2012

ISRN Civil Engineering

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Plates are most widely used structural systems to build and/or enclose the space along with some other structural elements, namely, walls, columns, and so forth. in any building. Design procedure for proportioning plates has been recommended in various design codes based upon empirical relations and some factors found on basis of the results of an extensive series of tests and wellestablished performance record of various plate/slab systems constructed in the past. These guidelines have a number of inherent limitations in the form of assumptions, thereby, forcing the designers to proportion the plate system within the domain of these limitations. A procedure to design reinforced concrete stiffened-plates is presented using an energy-balance concept and it can be used for both a single panel as well as multipanel rectangular plate system with any value of aspect ratio, number of panels, and orthotropy. To validate the results from the proposed design procedure, these are compared with the results from well-established literature on the plate analysis and are found to be in good agreement. Working procedure is illustrated with the help of design examples.

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“…Koko and Olson (1991) developed a new numerical technique for large deflection elastoplastic analysis of stiffened plates using super finite elements. Bedair (1997) presented a methodology for the analysis of multi-stiffened plates under lateral loading, based on energy formulation and to achieve the solution, employed a sequential quadratic programming (SQP) technique. Sheikh and Mukhopadhyay (2000) performed geometric nonlinear analysis of stiffened plates utilising the spline finite strip method and von Karman nonlinear plate theory.…”

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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Analysis of stiffened plates under lateral loading using sequential quadratic programming (SQP)

Cited by 30 publications

References 3 publications

Large-amplitude dynamic analysis of stiffened plates with free edges

Large-amplitude dynamic analysis of stiffened plates with free edges

Designing Laterally Loaded RC Stiffened Plates: Energy Balance Concept

Large Displacement of Crossbeam Structure through Energy Method

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