An analytical solution for the probabilistic response of sdof non-linear random systems subjected to variable amplitude cyclic loading

1994 ◽  
Vol 23 (5) ◽  
pp. 489-506 ◽  
Author(s):  
G. M. E. Manzocchi ◽  
M. Chryssanthopoulos ◽  
A. S. Elnashai
Keyword(s):  
Cyclic Loading ◽  
Analytical Solution ◽  
Random Systems ◽  
Variable Amplitude ◽  
Non Linear ◽  
Probabilistic Response

scholarly journals Non-Linear Mechanical Properties of Collagen Networks During Cyclic Loading

2010 ◽  
Vol 98 (3) ◽  
pp. 558a-559a ◽  
Author(s):  
Stefan Münster ◽  
Louise M. Jawerth ◽  
Chase Broedersz ◽  
David A. Weitz ◽  
Ben Fabry
Keyword(s):  
Mechanical Properties ◽  
Cyclic Loading ◽  
Non Linear

Analytical Solution of the Non-linear Michaelis–Menten Pharmacokinetics Equation

2020 ◽  
Vol 6 (1) ◽  
Author(s):  
Derar Omari ◽  
A. K. Alomari ◽  
Ammar Mansour ◽  
Alaa Bawaneh ◽  
Awad Mansour
Keyword(s):  
Analytical Solution ◽  
Non Linear

A new energy dissipative cable bracing system

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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