Sensitivity of plastic optimal structures to imperfections and non-linear geometrical effects

A. Siemaszko; Z. Mróz

doi:10.1007/bf01743278

A new energy dissipative cable bracing system

Advances in Structural Engineering ◽

10.1177/1369433219858726 ◽

2019 ◽

Vol 22 (14) ◽

pp. 3134-3146

Author(s):

Saman Bagheri ◽

Siamak S Shishvan ◽

Majid Barghian ◽

Behzad Baniahmad

Keyword(s):

Analytical Solution ◽

Frictional Contact ◽

Element Model ◽

Linear Phase ◽

Non Linear ◽

New Energy ◽

The Coefficient Of Friction ◽

Geometrical Effects ◽

Two Phases ◽

Bracing System

A special type of cable bracing system comprising a pre-stressed cable and a drum interacting via frictional contact is proposed for lateral resistance of structures, and an analytical solution for the response of this system is developed. The response of the system is highly non-linear due to the existence of frictional contact as well as geometrical effects and it consists of two phases: a linear phase before gross slipping with a relatively high stiffness followed by a non-linear phase with gradually increasing stiffness (i.e. hardening). However, the analytical solution is capable of capturing the whole response with a remarkable accuracy when compared to the finite element model of the system constructed for cross-validation. This analytical solution facilitates studying the effects of various parameters on the behaviour of the system, namely, the coefficient of friction, pre-strain and geometrical aspect ratio. These parameters can be arbitrarily set to achieve a desirable behaviour of the system. The proposed system is capable of undergoing large deformations with symmetrical and stable hysteretic behaviour. The effectiveness of the proposed device in reducing the seismic responses of a building frame is examined using a simplified numerical model.

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LONG-TERM STRENGTH AND DEFORMATIONAL ANALYSIS OF REINFORCED CONCRETE COLUMNS

Journal of Civil Engineering and Management ◽

10.3846/13923730.2004.9636288 ◽

2004 ◽

Vol 10 (1) ◽

pp. 67-75

Author(s):

Valery Simbirkin ◽

Robertas Balevičius

Keyword(s):

Reinforced Concrete ◽

Concrete Columns ◽

Second Order ◽

Reinforced Concrete Columns ◽

Load Carrying ◽

Non Linear ◽

Internal Forces ◽

Geometrical Effects ◽

Extensive Experimental Data

The paper presents a method of non‐linear analysis of load‐carrying capacity and deformations of reinforced concrete columns subjected to long‐term loads. Physical relationships expressing non‐linear relations between internal forces and stresses, strains and stiffness are derived on the basis of the fracture and creep theories for concrete and using non‐linear stress‐strain diagrams modified for time effects. Second‐order geometrical effects are taken into account by solving a second‐order differential equation for elements subjected to compression and bending. A number of numerical and test results are presented. The technique proposed is verified by comparison of analysis results with extensive experimental data.

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Investigating the impact of non-linear geometrical effects on wind turbine blades-Part 1: Current status of design and test methods and future challenges in design optimization

Wind Energy ◽

10.1002/we.415 ◽

2010 ◽

Vol 14 (2) ◽

pp. 239-254 ◽

Cited By ~ 16

Author(s):

Find M. Jensen ◽

Amit S. Puri ◽

John P. Dear ◽

Kim Branner ◽

Andrew Morris

Keyword(s):

Wind Turbine ◽

Design Optimization ◽

Turbine Blades ◽

Test Methods ◽

Current Status ◽

Wind Turbine Blades ◽

Non Linear ◽

Future Challenges ◽

Geometrical Effects ◽

The Impact

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B. The Non-Linear Calculations for Pulsating Stars

Symposium - International Astronomical Union ◽

10.1017/s0074180900019008 ◽

1967 ◽

Vol 28 ◽

pp. 105-176

Author(s):

Robert F. Christy

Keyword(s):

Major Part ◽

Afternoon Session ◽

Discussion Session ◽

Pulsating Stars ◽

Fourth Symposium ◽

Non Linear ◽

Considerable Discussion ◽

Informal Approach ◽

Preceding Session

(Ed. note: The custom in these Symposia has been to have a summary-introductory presentation which lasts about 1 to 1.5 hours, during which discussion from the floor is minor and usually directed at technical clarification. The remainder of the session is then devoted to discussion of the whole subject, oriented around the summary-introduction. The preceding session, I-A, at Nice, followed this pattern. Christy suggested that we might experiment in his presentation with a much more informal approach, allowing considerable discussion of the points raised in the summary-introduction during its presentation, with perhaps the entire morning spent in this way, reserving the afternoon session for discussion only. At Varenna, in the Fourth Symposium, several of the summaryintroductory papers presented from the astronomical viewpoint had been so full of concepts unfamiliar to a number of the aerodynamicists-physicists present, that a major part of the following discussion session had been devoted to simply clarifying concepts and then repeating a considerable amount of what had been summarized. So, always looking for alternatives which help to increase the understanding between the different disciplines by introducing clarification of concept as expeditiously as possible, we tried Christy's suggestion. Thus you will find the pattern of the following different from that in session I-A. I am much indebted to Christy for extensive collaboration in editing the resulting combined presentation and discussion. As always, however, I have taken upon myself the responsibility for the final editing, and so all shortcomings are on my head.)

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