A modified Newton-type Koiter-Newton method for tracing the geometrically nonlinear response of structures

2017 ◽  
Vol 113 (10) ◽  
pp. 1541-1560 ◽  
Author(s):  
Ke Liang ◽  
Mostafa M. Abdalla ◽  
Qin Sun
Keyword(s):  
Newton Method ◽  
Nonlinear Response ◽  
Geometrically Nonlinear

NONLINEAR WIND-RESISTANT DESIGN METHOD FOR CABLE NET FAÇADES

2011 ◽  
Vol 11 (06) ◽  
pp. 1163-1177 ◽  
Author(s):  
RUO-QIANG FENG ◽  
JIHONG YE ◽  
YUE WU ◽  
SHI-ZHAO SHEN
Keyword(s):  
Random Vibration ◽  
Nonlinear Response ◽  
Design Method ◽  
Structural Response ◽  
Nonlinear Behavior ◽  
Geometrically Nonlinear ◽  
Nonlinear Random Vibration ◽  
Random Vibration Theory ◽  
High Flexibility ◽  
Fluctuating Wind

Cable net façades are sensitive to the fluctuating wind loads due to their high flexibility, light weight, and small damping. Since the cable net façade is a new kind of structure with obvious geometrically nonlinear behavior, there is no proper corresponding wind-resistant design method. In this paper, first, the nonlinear random vibration theory is used to determine the wind-induced nonlinear response formulation of the cable net façade. Then, a nonlinear wind-resistant design method for the cable net façade is developed based on the structural response. Finally, the accuracy of this wind-resistant method is verified, and the scope of the application is discussed.

scholarly journals A Continuation Procedure for the Quasi-Static Analysis of Materially and Geometrically Nonlinear Structural Problems

2019 ◽  
Vol 24 (4) ◽  
pp. 94
Author(s):  
Davide Bellora ◽  
Riccardo Vescovini
Keyword(s):  
Static Analysis ◽  
Nonlinear Response ◽  
Geometric Constraints ◽  
Geometrically Nonlinear ◽  
Material Response ◽  
Structural Problems ◽  
Nonlinear Structural ◽  
Continuation Technique

Discussed is the implementation of a continuation technique for the analysis of nonlinear structural problems, which is capable of accounting for geometric and dissipative requirements. The strategy can be applied for solving quasi-static problems, where nonlinearities can be due to geometric or material response. The main advantage of the proposed approach relies in its robustness, which can be exploited for tracing the equilibrium paths for problems characterized by complex responses involving the onset and propagation of cracks. A set of examples is presented and discussed. For problems involving combined material and geometric nonlinearties, the results illustrate the advantages of the proposed hybrid continuation technique in terms of efficiency and robustness. Specifically, less iterations are usually required with respect to similar procedures based on purely geometric constraints. Furthermore, bifurcation plots can be easily traced, furnishing the analyst a powerful tool for investigating the nonlinear response of the structure at hand.

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