XI.—Matrix Analysis of Beam-Columns by the Method of Finite Elements

1965 ◽  
Vol 67 (2) ◽  
pp. 156-173
Author(s):  
R. G. Smith ◽  
J. A. Webster
Keyword(s):  
Finite Elements ◽  
Matrix Analysis ◽  
Elastic Plane ◽  
Beam Columns ◽  
Linear Elastic ◽  
Normal Forces ◽  
Stiffness Matrices ◽  
Plane Frames ◽  
Lowest Eigenvalue

SynopsisA matrix analysis is derived, using the concept of finite elements, for beam-columns of continuously varying cross-section and “small” initial curvature subject to tangential and normal forces acting at discrete points along the centroidal axis.The relationships between loads applied to the ends of the member and their corresponding deformations are established in the form of stiffness matrices, which are the basis of the Equilibrium Method of Analysis of linear or non-linear elastic plane frames composed of such membeis. In addition, the end loads induced by the tangential and normal forces for various types of boundary conditions are obtained.Finally, it is shown that the buckling load may be calculated by the determination of the lowest eigenvalue of a certain matrix, provided there is no lateial translation of the ends of the member.

Determination of residual stresses in disk keyways by the finite-elements method

1982 ◽  
Vol 14 (7) ◽  
pp. 865-867
Author(s):  
B. A. Kravchenko ◽  
V. G. Fokin ◽  
G. N. Gutman
Keyword(s):  
Finite Elements ◽  
Residual Stresses ◽  
Finite Elements Method

Strain field determination in III–V heteroepitaxy coupling finite elements with experimental and theoretical techniques at the nanoscale

2017 ◽  
Vol 26 (1-2) ◽  
pp. 1-8
Author(s):  
Nikoletta Florini ◽  
George P. Dimitrakopulos ◽  
Joseph Kioseoglou ◽  
Nikos T. Pelekanos ◽  
Thomas Kehagias
Keyword(s):  
Finite Elements ◽  
Strain Field ◽  
Strain Distribution ◽  
Elastic Strain ◽  
Growth Direction ◽  
Current Status ◽  
Interface Plane ◽  
Fe Method ◽  
Semiconductor Nanostructure

AbstractWe are briefly reviewing the current status of elastic strain field determination in III–V heteroepitaxial nanostructures, linking finite elements (FE) calculations with quantitative nanoscale imaging and atomistic calculation techniques. III–V semiconductor nanostructure systems of various dimensions are evaluated in terms of their importance in photonic and microelectronic devices. As elastic strain distribution inside nano-heterostructures has a significant impact on the alloy composition, and thus their electronic properties, it is important to accurately map its components both at the interface plane and along the growth direction. Therefore, we focus on the determination of the stress-strain fields in III–V heteroepitaxial nanostructures by experimental and theoretical methods with emphasis on the numerical FE method by means of anisotropic continuum elasticity (CE) approximation. Subsequently, we present our contribution to the field by coupling FE simulations on InAs quantum dots (QDs) grown on (211)B GaAs substrate, either uncapped or buried, and GaAs/AlGaAs core-shell nanowires (NWs) grown on (111) Si, with quantitative high-resolution transmission electron microscopy (HRTEM) methods and atomistic molecular dynamics (MD) calculations. Full determination of the elastic strain distribution can be exploited for band gap tailoring of the heterostructures by controlling the content of the active elements, and thus influence the emitted radiation.

scholarly journals Analytical determination of application point and normal reaction arm when rolling a wheel on a drum

2021 ◽  
Vol 341 ◽  
pp. 00039
Author(s):  
Maria Karelina ◽  
Tatyana Balabina ◽  
Alexey Mamaev
Keyword(s):  
Rolling Resistance ◽  
Analytical Determination ◽  
Support Surface ◽  
Rigid Support ◽  
Normal Reaction ◽  
Normal Forces ◽  
Elastic Wheel ◽  
Wheel Rolling ◽  
Force Equilibrium

Evaluation of the rolling resistance of car tires is now often performed on drum stands like car tests. This necessitates the study of the mechanics of interaction between the wheel and the drum in order to determine its force and kinematic characteristics, including the values and points of application of tangential and normal forces in contact with the drum. These problems can be solved taking into account that the mechanics of elastic wheel rolling on a drum is the same as when rolling on a flat rigid support surface. In this paper, from consideration of the mechanics of interaction between an elastic wheel and a drum, using the equations of power balance and force equilibrium of the wheel, the equations for determining the point of normal reaction in contact and its arm relative to the wheel axis during its rolling along one and two drums have been derived.. These dependencies have a simple form and can be applied when considering the rolling of both a single wheel and the car as a whole on a drum stand.

scholarly journals Strategi Pengembangan Pemasaran Batu Andesit (Studi Kasus pada PT Duta Keluarga Imfaco, Bogor Jawa Barat)

2019 ◽  
Vol 13 (2) ◽  
pp. 127
Author(s):  
Tubagus Imron ◽  
Rizal Syarief Sjaiful Nazli ◽  
Sapta Raharja
Keyword(s):  
Sampling Method ◽  
External Factor ◽  
Matrix Analysis ◽  
Market Development ◽  
Market Penetration ◽  
Market Demand ◽  
Alternative Strategies ◽  
Swot Matrix ◽  
Internal And External Factors

<p>Andesite stone mining activities in Bogor area is now growing, one of the andesite stone processing business is PT Duta Keluarga Imfaco located in Bogor Regency, West Java. The economically valuable andesit stone is expected to be the mainstay of the income of the surrounding community, characterized by the increasing market demand and the growing interest of the community towards andesite stone. The purpose of this study are (1) to identify internal and external factors of PT Imfaco Family Ambassador; (2) Developing appropriate market development strategies; and (3) Develop alternative strategies of andesite stone marketing development. The study used descriptive and analytic methods that are case studies. Determination of respondents with purposive sampling method, with consideration that mastered the problems to be asked. Data analysis with IFE and EFE matrix to identify internal and external factor of company, then mapping with IE matrix, to see company position. Preparation of strategy with SWOT matrix, yield several alternative strategies that can be implemented. The final stage with the QSP matrix, to determine the priority of the most appropriate strategy to be implemented. Based on the results of IFE and EFE matrix analysis, indicates the company is in a stable position in responding to external situations. The result of analysis with IE matrix, company is in quadrant V, that is growth and stability, where strategy that can be done is market penetration and business development. Results of analysis with SWOT matrix obtained alternative strategies that can be implemented and with the QSP matrix obtained the most appropriate strategy to be implemented in order to develop the company's marketing strategy is to expand the marketing network.</p>

Application of Finite-Element Method to Interstiffener Buckling in Submersible Cylindrical Hulls

1983 ◽  
Vol 27 (04) ◽  
pp. 281-285
Author(s):  
K. Rajagopalan ◽  
C. Ganapathy Chettiar
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Computer Program ◽  
Cylindrical Shells ◽  
Geometric Stiffness ◽  
Stiffness Matrices ◽  
Finite Element Procedure ◽  
Stepwise Variation ◽  
Thin Walled

A finite-element procedure for the determination of buckling pressure of thin-walled cylindrical shells used in ocean structures is presented. The derivation of the elastic and geometric stiffness matrices is discussed in detail followed by a succinct description of the computer program developed by the authors during the course of this study for the determination of the buckling pressure. Particular attention is paid to the boundary conditions which strongly influence the buckling pressure. Applications involving the interstiffener buckling in submersible hulls and cylindrical shells with stepwise variation in wall thickness are considered and the results compared with the solutions and procedures available in the literature.

scholarly journals Proteolytic Activity Matrix Analysis (PrAMA) for simultaneous determination of multiple protease activities

2011 ◽  
Vol 3 (4) ◽  
pp. 422-438 ◽  
Author(s):  
Miles A. Miller ◽  
Layla Barkal ◽  
Karen Jeng ◽  
Andreas Herrlich ◽  
Marcia Moss ◽  
...  
Keyword(s):  
Simultaneous Determination ◽  
Proteolytic Activity ◽  
Matrix Analysis ◽  
Activity Matrix

Determination of C2 Stress Index of Back-to-Back Welded Piping Bends Using Finite Element Method

2006 ◽  
Author(s):  
Dan Vlaicu ◽  
Manohar Lal Aggarwal ◽  
Ming Li
Keyword(s):  
Finite Element ◽  
Central Line ◽  
Stress Index ◽  
Element Analysis ◽  
Butt Weld ◽  
Linear Elastic ◽  
Out Of Plane ◽  
Parametric Studies ◽  
Welded Pipe

In current ASME Boiler and Pressure Vessel Code, the C2 stress index for back-to-back elbows welded together is taken as the product of the C2 index of the elbow and the C2 index of the girth butt weld. In recent years, many finite element analyses studies have been conducted on the elbow C2 index itself which have found that the code C2 value is conservative. The girth butt weld C2 given in the code resulted from analytical studies on transition joint between two straight pipes. While the code considers that the secondary stress due to the weld reinforcement including the effect from the mismatch to be small and practically negligible for a thick pipe, it recommends a formula to calculate C2 for weld in a thin pipe of thickness less than 0.237”. The purpose of this paper is to present an approach that C2 caused by weld mismatch can be determined by finite element analysis. Back-to-back bends are modeled with 2 typical configurations: in-plane and out-of-plane. Parametric studies of linear elastic secondary stresses are carried out to determine the “worst possible” two bend central line mismatch. The stress indices at elbows and weld location are established. It is found that the C2 index based on the code formula is overly conservative for back-to-back welded pipe bends and the multiplication by the C2 index of the weld is not needed.

Consideration of the Torsional Stiffness in Hollow-Core Slabs’ Design

2019 ◽  
Vol 968 ◽  
pp. 330-341
Author(s):  
Talyat Azizov ◽  
Wit Derkowski ◽  
Nadzieja Jurkowska
Keyword(s):  
Finite Elements ◽  
Precast Concrete ◽  
Numerical Data ◽  
Torsional Stiffness ◽  
System Of Equations ◽  
Hollow Core ◽  
Floor Slabs ◽  
Formation Of Cracks ◽  
Resolving System

The paper discusses the principles of precast concrete hollow-core slabs taking into account their spatial work. It is shown that consideration of spatial work makes it possible to determine the forces in individual floor slabs significantly more precise. The fact that strain redistribution between precast floor slabs depends on slabs’ bending and torsional stiffness is shown. The research has been mostly devoted to determination of the bending stiffness with regard to formation of cracks and the change in torsional stiffness, especially considering the presence of normal cracks, which is still unstudied. This paper presents the technique for determining the torsional stiffness of hollow-core slabs with normal cracks. In order to determine the components included in the resolving system of equations, it is proposed to use an approximation method based on the processing of numerical data using spatial finite elements.

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