scholarly journals Problem formulation of a rectangular orthotropic elastodiffusive Kirchhoff plate vibrations

2020 ◽  
pp. 222-228
Author(s):  
Андрей Владимирович Земсков ◽  
Дмитрий Валентинович Тарлаковский
Keyword(s):  
Variational Principle ◽  
Problem Formulation ◽  
Kirchhoff Plate ◽  
Bending Moments ◽  
Shear Forces ◽  
Plate Vibrations ◽  
Elastic Diffusion

Исследуются нестационарные упругодиффузионные колебания ортотропной пластины Кирхгофа с учетом релаксации диффузионных потоков. В общем случае пластина находится под действием растягивающих усилий, изгибающих и крутящих моментов и перерезывающих сил. Здесь же заданы плотности диффузионных потоков. Для постановки задачи используется модель нестационарного плоского изгиба упругодиффузионной пластины Кирхгофа, полученная с помощью вариационного принципа Даламбера. We study unsteady elastic diffusion vibrations of a rectangular ortotropic Kirchhoff plate in the presence of diffusion fluxes relaxation. In general formulation the plate is subjected to tensile and shear forces as well as bending moments and torque. The unsteady model of an elastodiffusive Kirchhoff plate is obtained using the d’Alembert variational principle.

Large Deflection of a Rectangular Plate Resting on a Pasternak-Type Elastic Foundation

1977 ◽  
Vol 44 (3) ◽  
pp. 509-511 ◽  
Author(s):  
P. K. Ghosh
Keyword(s):  
Rectangular Plate ◽  
Elastic Foundation ◽  
Large Deflection ◽  
Lateral Load ◽  
Bending Moments ◽  
Shear Forces ◽  
Simply Supported ◽  
Base Parameters ◽  
Square Plate

The problem of large deflection of a rectangular plate resting on a Pasternak-type foundation and subjected to a uniform lateral load has been investigated by utilizing the linearized equation of plates due to H. M. Berger. The solutions derived and based on the effect of the two base parameters have been carried to practical conclusions by presenting graphs for bending moments and shear forces for a square plate with all edges simply supported.

Bending Moments and Shear Forces in Ships Sailing in Irregular Waves

1981 ◽  
Vol 25 (04) ◽  
pp. 243-251
Author(s):  
J. Juncher Jensen ◽  
P. Terndrup Pedersen
Keyword(s):  
Linear Part ◽  
Vertical Motion ◽  
Bending Moment ◽  
Irregular Waves ◽  
Bending Moments ◽  
Shear Forces ◽  
Strip Theory ◽  
Wave Heights ◽  
Exciting Forces ◽  
Wave Induced

This paper presents some results concerning the vertical response of two different ships sailing in regular and irregular waves. One ship is a containership with a relatively small block coefficient and with some bow flare while the other ship is a tanker with a large block coefficient. The wave-induced loads are calculated using a second-order strip theory, derived by a perturbational procedure in which the linear part is identical to the usual strip theory. The additional quadratic terms are determined by taking into account the nonlinearities of the exiting waves, the nonvertical sides of the ship, and, finally, the variations of the hydrodynamic forces during the vertical motion of the ship. The flexibility of the hull is also taken into account. The numerical results show that for the containership a substantial increase in bending moments and shear forces is caused by the quadratic terms. The results also show that for both ships the effect of the hull flexibility (springing) is a fair increase of the variance of the wave-induced midship bending moment. For the tanker the springing is due mainly to exciting forces which are linear with respect to wave heights whereas for the containership the nonlinear exciting forces are of importance.

STRESS CONCENTRATION DUE TO ADVANCING HEART PULSE THROUGH A BLOOD VESSEL JOINT

2001 ◽  
Vol 01 (02) ◽  
pp. 79-96 ◽  
Author(s):  
IGOR SELEZOV ◽  
OLGA AVRAMENKO ◽  
GIUSEPPE FRATAMICO ◽  
GIOVANNI PALLOTTI ◽  
PAOLO PETTAZZONI
Keyword(s):  
Mathematical Model ◽  
Stress Concentration ◽  
Blood Vessel ◽  
Blood Vessels ◽  
Vessel Wall ◽  
Pulse Propagation ◽  
Bending Moments ◽  
Shear Forces ◽  
Piecewise Constant ◽  
Qualitative And Quantitative

The effect of a vessel joint of different properties on the heart pulse propagation and anastomosis junction is investigated. The system under consideration is modelled by an elastic piecewise-constant vessel consisting of two perfectly jointed vessels of different thicknesses and radii. A mathematical model is developed, to perform numerical calculations and to obtain some qualitative and quantitative estimations. The effect of different thicknesses and radii of jointed blood vessels on the concentrations of pressure, radial vessel wall displacement, bending moments and shear forces are analyzed in detail.

scholarly journals Premature destruction of two-span RC beams exposed to high temperature caused by a redistribution of shear forces

2016 ◽  
Vol 23 (4) ◽  
pp. 431-439 ◽  
Author(s):  
Robert KOWALSKI ◽  
Michał GŁOWACKI ◽  
Marian ABRAMOWICZ
Keyword(s):  
High Temperature ◽  
Cross Sections ◽  
Bending Moment ◽  
Middle Part ◽  
Transverse Reinforcement ◽  
Shear Load ◽  
Bending Moments ◽  
Rc Beams ◽  
Shear Forces ◽  
Load Bearing Capacity

When multi-span RC elements are exposed to fire one usually observes a yielding of span cross-sections while a safety reserve of support cross-sections is still significant. Due to this phenomenon a redistribution of bending moments occurs and the values of sagging moment in span cross-sections decrease while the values of hogging moment in support cross-sections increase. This paper shows the results of tests conducted on two-span RC beams in a situation when only one span has been exposed to high temperature from the bottom. The beams were 12×16 cm in their cross-section. The length of the span was 165 cm. The load has been applied by two forces put on each span. The beams were made of C25/30 concrete with siliceous aggregate. As a result of significant stiffness decrease of the heated span, redistribution of shear forces and bending moment occurs. Due to this redistribution the tested beams were prematurely damaged due to exhaust of the shear load bearing capacity in the middle part of the beam span where there was no transverse reinforcement.

The Application of E Shaped Steel Bearing on the Simply Supported Beam Bridge

2011 ◽  
Vol 90-93 ◽  
pp. 3141-3144
Author(s):  
Ling Jun Kong ◽  
Yan Bei Chen ◽  
Jun Liu ◽  
Qi Bin Jiang
Keyword(s):  
Computational Models ◽  
Time History ◽  
Earthquake Response ◽  
Bending Moments ◽  
Shear Forces ◽  
Simply Supported Beam ◽  
Simply Supported ◽  
Related Data ◽  
Nonlinear Time History ◽  
Beam Bridge

To study the application of E shaped steel bearing on the simply supported beam bridge, the Xinhua bridge is analyzed by the nonlinear time-history method and the Midas/Civil software, considering the interaction between pile and soil. The related data are obtained through two computational models. And the data are compared in this paper. The results show that the bending moments and shear forces of the bottom of the fixed pier are reduced, due to using the E shaped steel bearing at the fixed pier. The E shaped steel bearing dissipates the earthquake energy and reduces the earthquake response of the bridge.

scholarly journals Comparative assessment of the safety of lighting pillars installed near the road under the action of a car driving over them

2018 ◽  
Vol 5 (4) ◽  
Author(s):  
Ilya Ovchinnikov ◽  
Rafail Garibov ◽  
Igor Ovchinnikov
Keyword(s):  
Reinforced Concrete ◽  
Comparative Assessment ◽  
Design Parameters ◽  
Vehicle Speed ◽  
Bending Moments ◽  
Shear Forces ◽  
Vehicle Collisions ◽  
Small Deviations ◽  
The Road ◽  
Car Driving

The task of the comparative evaluation of the safety lighting poles installed around the road under the action hit them the car. Notes that studies on the calculation and modeling lighting poles when exposed to shock loads due to vehicle collisions is very small. The situation of a conditional vehicle exit (LADAPRIORASEDAN) from the carriageway to the roadside is followed up, followed by a collision with a metal or reinforced concrete support for external electric lighting. Vehicle speed is 60 km/h and the calculation is performed by finite element method. Diagram shows the compressive forces, bending moments, shear forces, displacements. The analysis found that by hitting the conditioned car to support the outer electrical lighting in a bearing of reinforced concrete arise effort close to being admitted that for small deviations from design parameters (e.g., speed limit is exceeded, possible defects and injuries of lighting columns) can lead to the collapse construction, including the possible fall of its vehicle. Consequently, the support of the metal outer lighting when hit by the vehicle conditional security parameters and external lighting strength of reinforced concrete is preferred support.

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