Nonlinear Analysis of Space Structures under Dynamic Loads
Journal Title: Trends in Civil Engineering and its Architecture - Year 2018, Vol 2, Issue 3
Abstract
A theoretical analysis is presented for estimating the in-space large displacement elastic stability behavior of structures subjected to either proportional or non-proportional dynamic loads. The analysis adopts the beam-column approach, which models the structure’s members as beam-column elements. The formulation of the beam-column element is based on the Eulerian approach allowing for the influence of the axial force on the bending and the torsion stiffness. Also, change in member chord length due to the axial deformation and flexural bowing are taken into account. Newmark- β method is used as a time integration technique to plot the time-deformation curves. Damping effect is expressed using Raleigh damping matrix. Several examples have been solved to insure the accuracy of the present analysis. A dynamic load may cause instability of a structure, even if the structure remains stable under a static load of the same magnitude as the dynamic load .Such phenomenon may occur within the elastic range. So, the maximum deformation response abruptly increases at some point with respect to the magnitude of loading. When this kind of instability problem to be solved ,geometrical non-linearity must be considered in the dynamic analysis as that in static instability analysis. To days, studies conducted on dynamic analysis of frames with geometric non-linearity are mainly concerned with plane frames. Such studies dealing with three dimensional frames are seldom found in the literature. The objective of this paper is to extend the large deformation static analysis of space structures presented previously by Oran [1] and then by kassimali and abbsania [2] to deal with the time dependent loading. Members are assumed to be prismatic connected by frictionless hinges for trusses and rigid joints for frames. Three alternate methods are available in the literature that are used to determine the current member orientation matrix for the deformed configuration. Two of these are presented by Oran [1] and the third one was presented by Kassimali and Abbasania [2]. One of the procedures of Oran was utilized in the present analysis. This method is based on the variation of the principal directions from one section to another, then the incremental joint orientation matrix is calculated in each increment, and the total joint orientation matrix is updated for the next increment. The current member orientation matrix, then, is obtained by averaging the orientation of the two end sections of the member [1].
Authors and Affiliations
Qasim M Shakir
Keywords
Related Articles
- EP ID EP610467
- DOI 10.32474/TCEIA.2018.02.000140
- Views 94
- Downloads 0
Advanced Ventilation Systems-Theory,Practice, Limitations and Solutions
The task of HVAC systems is to offset indoor thermal load and/ or ventilation load. Indoor thermal load can be offset by either convective-dominant way or radiant-dominant way. In convective dominant way, system recircul...
An Experimental Study on Human Hair Fiber Reinforced Concrete
This paper present the fresh and harden property of human hair fiber reinforce concrete. From the ancient time many researcher's and investors carried out research to enhance the physical and mechanical property of concr...
Integration of Multiple Uses to Create a Central Place for the Community: An Approach towards a Sustainable Town Centre Development at Baze Shilinda, Rajshahi
Town centre is the social hub of the town in which the central services of the highest order are found. For being one of the fast growing cities in Bangladesh, Rajshahi needs sustainable town centre with the integration...
Application of Non-Destructive Testing and Signal Processing Characteristics to Identify Defects and Microstructural Changes in Advanced High Strength Steels
Nondestructive testing (NDT) and signal processing were used to detect, locate and define surface and internal defects in unidirectionally solidified laboratory ingots. These defects included cracks, voids, coarse non-me...
Sete Fontes: a Challenge to Promote the Heritage Legacy andFacing Water Sources Scarcity in the city of Braga-Portugal
An ancient drinking water supply system, called Sete Fontes (Seven Springs), was built in the mid eighteenth century in the city of Braga. The system is composed by underground galleries, cisterns, waterspouts, fountains...