Design of Long Rectangular Elasto-Plastic Plates

1961 ◽  
Vol 5 (04) ◽  
pp. 16-33
Author(s):  
Thein Wah
Keyword(s):  
Strengthening Effect ◽  
Rectangular Plates ◽  
Uniform Pressure ◽  
Analysis And Design ◽  
Elastic Range ◽  
Salient Features

In a previous paper3 a theory was derived for the analysis of rectangular plates loaded with a uniform pressure and beyond the elastic range of the material. The theory took into account the strengthening effect of membrane tensions in the plane of the plate, the effects of edge displacements and of initial deflections and locked-in moments which might exist in the plate. In the present paper the salient features of the theory are put in the form of charts and tables for convenience in analysis and design.

scholarly journals Mechanical Property Analysis of Circular Polymer Membrane under Uniform Pressure

2017 ◽  
Vol 2017 ◽  
pp. 1-9 ◽  
Author(s):  
Sang Jianbing ◽  
Li Xiang ◽  
Xing Sufang ◽  
Wang Wenjia
Keyword(s):  
Mechanical Property ◽  
Polymer Material ◽  
Vertical Displacement ◽  
Polymer Membrane ◽  
Constitutive Parameter ◽  
Deformation Analysis ◽  
Strengthening Effect ◽  
Uniform Pressure ◽  
Governing Equations ◽  
Property Analysis

Mechanical property analysis of circular hyperelastic polymer membrane under uniform pressure has been researched in this work. The polymer membrane material is assumed to be homogeneous and isotropic and incompressibility of materials has been considered. Based on the modified stain energy function from Gao and nonmomental theory of axial symmetry thin shell, finite deformation analysis of polymer membrane under uniform pressure has been proposed in current configuration and governing equations of polymer membrane have been achieved. By utilizing the boundary condition, theoretical results of governing equations have been obtained and vertical displacement distribution and stress distribution have been achieved. The results show that the constitutive parameternhas a strengthening effect on the polymer material and the constitutive parameterαplays a controlling role for the second strain invariantI2, which also has a strengthening effect on the polymer material. This research has revealed the deformational mechanism of polymer membrane and provided reference for the design of polymer membrane.

Tubesheet Design in U-Tube Exchangers Including the Effect of Tube Rotational Restraint

1976 ◽  
Vol 98 (4) ◽  
pp. 1157-1160 ◽  
Author(s):  
A. I. Soler
Keyword(s):  
Heat Exchanger ◽  
Circular Plate ◽  
Low Pressure ◽  
Strengthening Effect ◽  
Uniform Pressure ◽  
Rotational Stiffness ◽  
Tube Heat Exchanger ◽  
Rotational Restraint

A clamped, circular plate under uniform pressure simulating a U-tube heat exchanger tubesheet is studied to ascertain the effect of tube rotational restraint on the tubesheet design. This effect is not normally considered in tubesheet design; however, it is shown here that for low-pressure units, the inclusion of tube rotational stiffness can lead to a measurable strengthening effect.

scholarly journals New frequency-dependent trigonometric interpolation functions for the dynamic finite element analysis of thin rectangular plates

2021 ◽  
Author(s):  
Supun Jayasinghe ◽  
Seyed M. Hashemi
Keyword(s):  
Finite Element ◽  
Trigonometric Interpolation ◽  
Rectangular Plates ◽  
Structural Components ◽  
Shape Functions ◽  
Element Analysis ◽  
Frequency Dependent ◽  
Analysis And Design ◽  
Dynamic Finite Element ◽  
Semianalytical Method

The Dynamic Finite Element (DFE) formulation is a superconvergent, semianalytical method used to perform vibration analysis of structural components during the early stages of design. It was presented as an alternative to analytical and numerical methods that exhibit various drawbacks, which limit their applicability during the preliminary design stages. The DFE method, originally developed by the second author, has been exploited heavily to study the modal behaviour of beams in the past. Results from these studies have shown that the DFE method is capable of arriving at highly accurate results with a coarse mesh, thus, making it an ideal choice for preliminary stage modal analysis and design of structural components. However, the DFE method has not yet been extended to study the vibration behaviour of plates. Thus, the aim of this study is to develop a set of frequency-dependent, trigonometric shape functions for a 4-noded, 4-DOF per node element as a basis for developing a DFE method for thin rectangular plates. To this end, the authors exploit a distinct quasi-exact solution to the plate governing equation and this solution is then used to derive the new, trigonometric basis and shape functions, based on which the DFE method would be developed.

A Theory for the Plastic Design of Ship Plating Under Uniform Pressure

1960 ◽  
Vol 4 (03) ◽  
pp. 17-24
Author(s):  
Thein Wah
Keyword(s):  
Rectangular Plate ◽  
Theoretical Investigation ◽  
Uniform Pressure ◽  
Plastic Design ◽  
Elastic Range

A theoretical investigation is made of the behavior of a long rectangular plate loaded laterally beyond the elastic range of the material. The study takes into account the effects of the following phenomena:Initial deflections;initial locked-in moments; anddisplacements of the edges, in the plane of the plate. The proposed method permits the design of plates based on allowable deflections under working loads and allowable permanent sets.

Howland’s isotropic Kts curve for plates with circular holes as a master curve for Kts in orthotropic plates with elliptical holes

2017 ◽  
Vol 52 (3) ◽  
pp. 152-161 ◽  
Author(s):  
Nando Troyani ◽  
Milagros Sánchez
Keyword(s):  
Stress Concentration ◽  
Master Curve ◽  
Orthotropic Materials ◽  
Finite Width ◽  
Rectangular Plates ◽  
Analysis And Design ◽  
Circular Holes ◽  
Elliptical Holes ◽  
Concentration Factors ◽  
Stress Concentration Factors

The importance of the role played by the so-called stress concentration factors (or symbolically referred to as Kts) in analysis and design in both mechanical and structural engineering is a well-established fact, and accuracy and ease in their estimation result in significant aspects related to engineering costs, and additionally on both the reliability in the design of parts and/or in the analysis of failed members. In this work, rectangular finite width plates of both isotropic and orthotropic materials with circular and elliptical holes are considered. Based on two key observations reported herein, it is shown in a partially heuristic engineering sense, that Howland’s solution curve for the stress concentration factors for finite width plates with circular holes subjected to tension can be viewed as a master curve; accordingly, it can be used as a basis to rather accurately estimate stress concentration factors for isotropic finite width tension rectangular plates with centered elliptical holes and also rather accurately used to estimate stress concentration factors for orthotropic finite width rectangular plates under tension with centered elliptical holes. Two novel concepts are defined and presented to this effect: geometric scaling and material scaling. In all the examined and reported cases, the specific numerical results can be obtained accurately using a hand-held calculator making virtually unnecessary the need to program and/or use other complex programs based on the finite element method, just as an example. The maximum recorded average error for all the considered cases being 2.62% as shown herein.

scholarly journals 04.20: Bending of rectangular plates subject to non-uniform pressure distributions relevant to containment structures

ce/papers ◽  
2017 ◽  
Vol 1 (2-3) ◽  
pp. 1000-1009
Author(s):  
C.J. Brown ◽  
R.J. Goodey ◽  
J. Michael Rotter
Keyword(s):  
Rectangular Plates ◽  
Uniform Pressure ◽  
Pressure Distributions

scholarly journals New Frequency-Dependent Trigonometric Interpolation Functions for the Dynamic Finite Element Analysis of Thin Rectangular Plates

2018 ◽  
Vol 2018 ◽  
pp. 1-16
Author(s):  
Supun Jayasinghe ◽  
Seyed M. Hashemi
Keyword(s):  
Finite Element ◽  
Trigonometric Interpolation ◽  
Rectangular Plates ◽  
Structural Components ◽  
Shape Functions ◽  
Element Analysis ◽  
Frequency Dependent ◽  
Analysis And Design ◽  
Dynamic Finite Element ◽  
Semianalytical Method

The Dynamic Finite Element (DFE) formulation is a superconvergent, semianalytical method used to perform vibration analysis of structural components during the early stages of design. It was presented as an alternative to analytical and numerical methods that exhibit various drawbacks, which limit their applicability during the preliminary design stages. The DFE method, originally developed by the second author, has been exploited heavily to study the modal behaviour of beams in the past. Results from these studies have shown that the DFE method is capable of arriving at highly accurate results with a coarse mesh, thus, making it an ideal choice for preliminary stage modal analysis and design of structural components. However, the DFE method has not yet been extended to study the vibration behaviour of plates. Thus, the aim of this study is to develop a set of frequency-dependent, trigonometric shape functions for a 4-noded, 4-DOF per node element as a basis for developing a DFE method for thin rectangular plates. To this end, the authors exploit a distinct quasi-exact solution to the plate governing equation and this solution is then used to derive the new, trigonometric basis and shape functions, based on which the DFE method would be developed.

Rectangular Plates on Unilateral Edge Supports: Part 2—Implementation; Concentrated and Uniform Loading

1986 ◽  
Vol 53 (1) ◽  
pp. 151-156 ◽  
Author(s):  
J. P. Dempsey ◽  
Hui Li
Keyword(s):  
Unilateral Contact ◽  
Rectangular Plates ◽  
Uniform Pressure ◽  
Computer Implementation ◽  
Concentrated Loads ◽  
Uniform Loading ◽  
Loss Of Contact ◽  
Implementation Aspects ◽  
Laterally Loaded ◽  
Support Reactions

Rectangular plates in unilateral contact with sagged and unsagged supports laterally loaded by centrally concentrated loads and uniform pressure are examined. The loss of contact and the redistribution of deflections, moments, and support reactions are presented. Computer implementation aspects are discussed.

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