On the effect of large deflection on nonlinear behavior of an eccentric bracing system

2008 ◽  
Vol 17 (4) ◽  
pp. 795-808 ◽  
Author(s):  
Ali Rasekh ◽  
Massood Mofid ◽  
Hamed Khezrzadeh
Keyword(s):  
Large Deflection ◽  
Nonlinear Behavior ◽  
Bracing System ◽  
Eccentric Bracing

Numerical solution of large deflection beams by using the Laplace Adomian decomposition method

2021 ◽  
Vol ahead-of-print (ahead-of-print) ◽  
Author(s):  
Ming-Xian Lin ◽  
Chia-Hsiang Tseng ◽  
Chao Kuang Chen
Keyword(s):  
Decomposition Method ◽  
Large Deflection ◽  
Adomian Decomposition Method ◽  
Nonlinear Behavior ◽  
Bernoulli Beam ◽  
Rapid Convergence ◽  
Content Type ◽  
Adomian Decomposition ◽  
Euler Bernoulli Beam ◽  
Better Than

PurposeThis paper presents the problems using Laplace Adomian decomposition method (LADM) for investigating the deformation and nonlinear behavior of the large deflection problems on Euler-Bernoulli beam.Design/methodology/approachThe governing equations will be converted to characteristic equations based on the LADM. The validity of the LADM has been confirmed by comparing the numerical results to different methods.FindingsThe results of the LADM are found to be better than the results of Adomian decomposition method (ADM), due to this method's rapid convergence and accuracy to obtain the solutions by using fewer iterative terms. LADM are presented for two examples for large deflection problems. The results obtained from example 1 shows the effects of the loading, horizontal parameters and moment parameters. Example 2 demonstrates the point loading and point angle influence on the Euler-Bernoulli beam.Originality/valueThe results of the LADM are found to be better than the results of ADM, due to this method's rapid convergence and accuracy to obtain the solutions by using fewer iterative terms.

scholarly journals Effect of the Bracing System on the Probability of Collapse of Steel Structures under Maximum Credible Earthquake

2021 ◽  
Vol 2021 ◽  
pp. 1-16
Author(s):  
Alireza Kianmehr
Keyword(s):  
Residential Buildings ◽  
Hazard Analysis ◽  
Fragility Curves ◽  
Steel Structures ◽  
Structural Members ◽  
Braced Frame ◽  
Ductile Behavior ◽  
Bracing System ◽  
Eccentric Bracing ◽  
Different Characteristics

Simple bracing frames can be divided into two types in terms of concentric or eccentric. Concentric bracing frames are frames that intersect with other structural members at one point in the structure along the bracing members. Otherwise, the braced frame will be eccentric. It is said empirically that due to this type of shaping, eccentric bracing frames exhibit more ductile behavior and concentric bracing frames exhibit more stiff behavior. This behavioral difference caused this study to be numerically computing for five frames, including unique concentric and eccentric bracing frames of 5 and 10 stories and an ordinary 5-story concentric bracing frame. Their tensions and drift ratios should be acceptable for the use of residential buildings. Using the primary two steps of the new PEER probabilistic framework, namely, probabilistic seismic hazard analysis and structural analysis, which leads to the drawing of fragility curves, the probability of collapse is obtained to compare the safety capability of these frames according to their different characteristics against earthquakes. The results show that increasing the ductility or increasing the number of floors or the height of these systems can reduce collapse. Also, according to the results of the probability of collapse obtained in frames with 5-story concentric bracing frames, it can be said that some of the current regulations, which work based on previous approaches of analysis, can lead to unsafe structures with a high probability of collapse.

A Method for Analyzing Elastic Large Deflection Behavior of Perfect and Imperfect Plates With Partially Rotation-Restrained Edges

2011 ◽  
Vol 134 (2) ◽  
Author(s):  
Jeom Kee Paik ◽  
Do Kyun Kim ◽  
Hoseong Lee ◽  
Yong Lae Shim
Keyword(s):  
Large Deflection ◽  
Biaxial Loading ◽  
Torsional Rigidity ◽  
Nonlinear Behavior ◽  
Edge Condition ◽  
Biaxial Compression ◽  
Buckling Behavior ◽  
Deflection Analysis ◽  
Post Buckling ◽  
Loading Ratio

The edge condition of the plating in a continuous stiffened-plate structure is neither simply supported nor clamped because the torsional rigidity of the support members at the plate edges is neither zero nor infinite. In a robust ship structural design, it is necessary to accurately take into account the effect of the edge condition in analyses of plate behavior in terms of buckling and post-buckling behavior. The aim of this study is to develop a new method for analyzing the geometric nonlinear behavior (i.e., elastic large deflection or post-buckling behavior) of plates with partially rotation-restrained edges in association with the torsional rigidity of the support members and under biaxial compression. An analytical method was developed to solve this problem using the nonlinear governing differential equations of plates. The validity of the developed method was confirmed by comparison with nonlinear finite element method solutions with varying values for the torsional rigidity of the support members, plate aspect ratio, and biaxial loading ratio. The developed method was found to give reasonably accurate results for practical design purpose in terms of the large deflection analysis of plates with partially rotation-restrained edges, and it will be useful for the robust design of ship structures in association with buckling and ultimate strength of plates surrounded by support members.

Nonlinear Analysis of Large Deflection of Elastically-Bossed Sensor Plate under Initial Tension

2012 ◽  
Vol 152-154 ◽  
pp. 970-975
Author(s):  
Chun Fu Chen ◽  
Nai Di Gao
Keyword(s):  
Large Deflection ◽  
Lateral Pressure ◽  
Plate Theory ◽  
Nonlinear Behavior ◽  
Iteration Scheme ◽  
Isotropic Case ◽  
Layered Plate ◽  
Initial Tension ◽  
Structural Responses ◽  
Silicon Based

The nonlinear problem of large deflection of an elastically-bossed layered plate under pretension due to lateral load is studied. The approach follows von Karman plate theory for large deflection for a symmetrically layered isotropic case. The thus derived nonlinear governing equations are solved using a numerical finite difference method with the aid of an iteration scheme. For a nearly monolithic plate with a thin boss, the obtained solutions correlate well with those available in literature for a single-layered flat plate, thus validates the presented approach. For three layered symmetric plates made of typical silicon based materials, various initial tension and lateral pressure are implemented. The results indicate that, edge behavior may appear at both the boss edge and the clamped end of the plate, thereby revealing severe variations for the structural responses. Varying the central boss size and relative thickness may have a sensible influence upon the behavior of the bossed layered plate. Furthermore, lateral pressure appears to have a sensible effect upon the nonlinear behavior of the bossed layered plate. For a relatively large initial tension, however, the pretension effect dominates, yielding a total membrane behavior for the bossed plate, regardless of the size of the center boss, except in the vicinity of the clamped edge.

Experimental Investigation Into the Behaviour of a New Replaceable Bracing System

2012 ◽  
Author(s):  
S. V. Khonsari ◽  
G. L. England ◽  
M. Moradi ◽  
H. Farahani ◽  
D. Zarei
Keyword(s):  
Experimental Investigation ◽  
Axial Loading ◽  
Repair Capacity ◽  
Bending Capacity ◽  
Potential Damage ◽  
Bracing System ◽  
Eccentric Bracing ◽  
Floor System ◽  
New System

A new bracing system with new features somewhat different from those of the existing ones was devised and is presented. These features comprise some of the advantages of eccentric bracing systems including their ability to dissipate energy through bending of flexural elements while lacking some of the disadvantages of such systems including their inability of being replaced upon damage during events such as earthquakes, etc. While in traditional types of braces, including both concentric and eccentric ones, braces are under axial loading, in this new system they work in a bending capacity. As a result, the sort of flexibility which is introduced in the system in the presence of eccentric braces (definitely at the price of forcing the potential damage to occur and be concentrated at the girders/beams to which such braces are connected), is now provided by the braces and at the price of sacrificing them. Therefore, if the level of damage is such that the damaged element is no longer usable, the replacement of the braces is a more viable and economically justifiable than that of the girders. Moreover, since girders, as part of the deck/floor system, are normally engaged with other elements such as stringers/joists, their replacement may not be practically possible at all. Such bracing systems, called Broken Beam Bracing System (BBBS), have the potential of being used in offshore/onshore structures as originally-used elements or in a retrofit/repair capacity.

USE OF A NEW PHENOMENOLOGICAL MODEL TO CAPTURE THE NONLINEAR BEHAVIOR OF BRACING MEMBERS

2015 ◽  
Vol 2 (1) ◽  
Author(s):  
Mojtaba Farahi ◽  
Saeed Erfani
Keyword(s):  
Cyclic Loading ◽  
Phenomenological Model ◽  
Physical Theory ◽  
Nonlinear Behavior ◽  
Theory Model ◽  
Analytical Models ◽  
Non Linear ◽  
Lateral Bracing ◽  
Bracing System

This paper is a summary of an attempt to provide a phenomenological model in order to capture the nonlinear behavior of bracing members. The result obtained from modeling of a bracing system with the aid of the phenomenological model is compared with the result of a test to investigate the accuracy of the investigated model. Furthermore, static non-linear analyses are performed on an inverted V-braced subassembly using the phenomenological model as well as a convenient physical theory model. According to this study, the proposed phenomenological model is capable to favorably capture the behavior of a brace member under a cyclic loading. Hence, it can be used in analytical models of structural lateral bracing systems to assess accurately the nonlinear behavior of these systems.

Development of a Jacobian Module for Advanced Pulp and Paper Simulation and Control

TAPPI Journal ◽  
2009 ◽  
Vol 8 (1) ◽  
pp. 4-11
Author(s):  
MOHAMED CHBEL ◽  
LUC LAPERRIÈRE
Keyword(s):  
Control System ◽  
Nonlinear Behavior ◽  
Simulation Software ◽  
Pulp And Paper ◽  
Pid Controllers ◽  
Tuning Parameters ◽  
Pid Tuning ◽  
Fixed Set ◽  
And Control ◽  
Operating Points

Pulp and paper processes frequently present nonlinear behavior, which means that process dynam-ics change with the operating points. These nonlinearities can challenge process control. PID controllers are the most popular controllers because they are simple and robust. However, a fixed set of PID tuning parameters is gen-erally not sufficient to optimize control of the process. Problems related to nonlinearities such as sluggish or oscilla-tory response can arise in different operating regions. Gain scheduling is a potential solution. In processes with mul-tiple control objectives, the control strategy must further evaluate loop interactions to decide on the pairing of manipulated and controlled variables that minimize the effect of such interactions and hence, optimize controller’s performance and stability. Using the CADSIM Plus™ commercial simulation software, we developed a Jacobian sim-ulation module that enables automatic bumps on the manipulated variables to calculate process gains at different operating points. These gains can be used in controller tuning. The module also enables the control system designer to evaluate loop interactions in a multivariable control system by calculating the Relative Gain Array (RGA) matrix, of which the Jacobian is an essential part.

REDUCED MODEL OF PLASMA DISCHARGE CONTROL IN TOKAMAK WITH IRON CORE

2020 ◽  
Vol 7 (3) ◽  
pp. 11-22
Author(s):  
VALERY ANDREEV ◽  
◽  
ALEXANDER POPOV
Keyword(s):  
Optimal Control ◽  
Inverse Problem ◽  
Optimal Control Problem ◽  
Control Problem ◽  
Nonlinear Behavior ◽  
Plasma Discharge ◽  
Reduced Model ◽  
Iron Core ◽  
Power Sources ◽  
Real Power

A reduced model has been developed to describe the time evolution of a discharge in an iron core tokamak, taking into account the nonlinear behavior of the ferromagnetic during the discharge. The calculation of the discharge scenario and program regime in the tokamak is formulated as an inverse problem - the optimal control problem. The methods for solving the problem are compared and the analysis of the correctness and stability of the control problem is carried out. A model of “quasi-optimal” control is proposed, which allows one to take into account real power sources. The discharge scenarios are calculated for the T-15 tokamak with an iron core.

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