scholarly journals Calculation of the Vehicles Stress-Deformed State while Transporting the Liquid Cargo

2021 ◽  
Vol 23 (1) ◽  
pp. B58-B64
Author(s):  
Oleksii Grevtsev ◽  
Ninel Selivanova ◽  
Pavlo Popovych ◽  
Liubomyr Poberezhny ◽  
Oksana Shevchuk ◽  
...  
Keyword(s):  
Temperature Field ◽  
Theory Of Elasticity ◽  
Circular Plates ◽  
Axisymmetric Loading ◽  
Metal Structures ◽  
Arbitrary Load ◽  
Deformed State ◽  
Cargo Transportation

To calculate the stress-deformed state of road-tanker metal structures during the liquid cargo transportation, the solution for bending axially and symmetrically loaded circular plates is proposed, which is based on the theory of elasticity approach. Dependencies for calculating stresses and displacements under arbitrary load law and support type are substantiated. Deformation of the support under the action of axisymmetric loading leads to appearance of a temperature field.

On limiting cases in the flexure of simply supported regular polygonal plates

1969 ◽  
Vol 65 (3) ◽  
pp. 831-834 ◽  
Author(s):  
K. Rajaiah ◽  
Akella Kameswara Rao
Keyword(s):  
Circular Plate ◽  
Regular Polygons ◽  
Circular Plates ◽  
Axisymmetric Loading ◽  
Simply Supported ◽  
Significant Factors

AbstractLimiting solutions are derived for the flexure of simply supported many-sided regular polygons, as the number of sides is increased indefinitely. It is shown that these solutions are different from those for simply supported circular plates. For axisymmetric loading, circular plate solutions overestimate the deflexions and the moments by significant factors.

scholarly journals Integral assessment of stress-defomated condition of metal structures of machines under the action of static and dynamic loads

2021 ◽  
pp. 188-196
Author(s):  
Ivan Nazarenko ◽  
◽  
Mykola Kuzminets ◽  
Oleg Dedov ◽  
Igor Zalіsko ◽  
...  
Keyword(s):  
Equations Of Motion ◽  
Steel Structures ◽  
Theory Of Elasticity ◽  
Dynamic Loads ◽  
Simultaneous Action ◽  
Structural Element ◽  
Metal Structures ◽  
Method Of Calculation ◽  
Definition Of ◽  
Integral Assessment

The article considers a system that combines the influence of static on dynamic loads on the example of the support-rotary circuit of a truck construction crane. The position of the system and its elements with the highest loads is revealed, the method of creating steel structures is investigated, each element, depending on the average load, experiences a stress-strain state. The basic laws of the theory of elasticity and plasticity were used to build a calculated mathematical model of the loaded support-rotary circuit. Equations of motion were compiled taking into account the behavior of structural elements and the machine as a whole under the simultaneous action of different loads. The calculation scheme was taken in the form of a structure consisting of rods rigidly connected to each other in nodes. As a method of calculation the method of finite elements with definition of displacements (deformations), efforts (stresses) in nodes of a grid of constructive elements of a design of a basic-rotary contour is applied. The stress distribution in each structural element depending on the type of load was obtained. This distribution allowed to choose rational parameters of a design in each its section. The proposed approach allowed to create a solid structure that provides reliability and economy of material. Thus, the results obtained allowed to fully analyze and decide on the simultaneous provision of strength, rigidity and minimum material consumption of the structure.

scholarly journals Contact interaction of prestressed annular punch and half-space

2020 ◽  
pp. 24-30
Author(s):  
S.Yu. Babich ◽  
◽  
N.O. Yaretska ◽  
Keyword(s):  
Half Space ◽  
Contact Interaction ◽  
Elastic Half Space ◽  
Theory Of Elasticity ◽  
Natural State ◽  
Small Perturbations ◽  
Linearized Theory Of Elasticity ◽  
Annular Punch ◽  
Linearized Theory ◽  
Deformed State

The article is devoted to the task of contact interaction of the pressure of a pre-stressed cylindrical annular punch on the half-space with initial (residual) stresses without friction. It is solved for the case of unequal roots of the characteristic equation. In general, the research was carried out for the theory of great initial (ultimate) deformations and two variants of the theory of small initial ones within the framework of linearized theory of elasticity with the elastic potential having any structure. It is assumed that the initial states of the elastic annular stamp and the elastic half-space remain homogeneous and equal. The study is carried out in the coordinates of the initial deformed state, which are interrelated with Lagrange coordinates (natural state). In addition, the influence of the annular stamp causes small perturbations of the basic elastic deformed state. It is assumed that the elastic annular stamp and the elastic half-space are made of different isotropic, transversal-isotropic or composite materials.

Layout of Extensional Surface Damping Treatment for Minimal Resonance Response

1993 ◽  
Author(s):  
Hans-Walter Wodtke ◽  
Hans A. Eschenauer ◽  
John S. Lamancusa
Keyword(s):  
Sound Radiation ◽  
Frequency Interval ◽  
Response Functions ◽  
Optimal Layout ◽  
Circular Plates ◽  
Spherical Shells ◽  
Single Degree Of Freedom ◽  
Metal Structures ◽  
Single Degree ◽  
Resonance Response

Abstract The efficiency of using surface-mounted damping layers for noise-reduction of thin-walled (sheet metal) structures, largely depends on their distribution on the component. It is therefore attempted — by using FEM and Mathematical Programming (MP) procedures — to determine optimal layer distributions in such a way that the resonance amplitudes in a frequency interval become minimal. An approximation method based on damped single degree of freedom response functions is used for resonance tracking. Beams, circular plates and shallow spherical shells with unconstrained damping treatment are considered as application examples. It will be shown that an optimal layout of the layers can result in substantial reductions in sound radiation. These reductions result not only from an increase in damping and stiffness but may also be due to a modification of the vibration modeshapes.

scholarly journals Asymptotic research of deformations and stresses of the ring that sustains the seam of elliptic bottom and conic shell

2021 ◽  
pp. 153
Author(s):  
B.N. Yakovlev
Keyword(s):  
Elastic System ◽  
Circular Ring ◽  
Arbitrary Load ◽  
Conic Shell ◽  
Deformed State ◽  
Angle Of Rotation

In the paper, we consider stress-deformed state of elastic system that consists of the elliptic bottom, the ring, and the conic shell. The ring is under arbitrary load, which acts in its plane.On the base of the principal differential dependencies of design of the planar circular ring, we obtain the expressions for tensions, momentum, and the angle of rotation of lateral section.

Semi-Analytical Solution for Functionally Graded Solid Circular and Annular Plates Resting on Elastic Foundations Subjected to Axisymmetric Transverse Loading

2012 ◽  
Vol 4 (2) ◽  
pp. 205-222 ◽  
Author(s):  
A. Behravan Rad
Keyword(s):  
Elastic Foundation ◽  
Differential Quadrature Method ◽  
Three Dimensional ◽  
Theory Of Elasticity ◽  
Functionally Graded ◽  
Circular Plates ◽  
Linear Elastic ◽  
Edge Conditions ◽  
The One ◽  
Foundation Plate

AbstractIn this paper, the static analysis of functionally graded (FG) circular plates resting on linear elastic foundation with various edge conditions is carried out by using a semi-analytical approach. The governing differential equations are derived based on the three dimensional theory of elasticity and assuming that the mechanical properties of the material vary exponentially along the thickness direction and Poisson’s ratio remains constant. The solution is obtained by employing the state space method (SSM) to express exactly the plate behavior along the graded direction and the one dimensional differential quadrature method (DQM) to approximate the radial variations of the parameters. The effects of different parameters (e.g., material property gradient index, elastic foundation coefficients, the surfaces conditions (hard or soft surface of the plate on foundation), plate geometric parameters and edges condition) on the deformation and stress distributions of the FG circular plates are investigated.

Unified Plastic Limit Analyses of Circular Plates Under Arbitrary Load

1999 ◽  
Vol 66 (2) ◽  
pp. 568-570 ◽  
Author(s):  
G. Ma ◽  
H. Hao ◽  
S. Iwasaki
Keyword(s):  
Circular Plates ◽  
Plastic Limit ◽  
Arbitrary Load
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