Abstract

Problem statement: The traditional dynamic nodal numbering algorithm was proposed for generating code number to support truss and frame simulation using only one element type, frame element; it facilitates the software development process. The traditional algorithm, however, supports simulation of only two types of connection: Hinged connection and rigid connection. In many cases, the problems consist of mix-connection and hybrid connection which cannot be simulated by the traditional technique directly. Approach: In this research, an improvement of dynamic nodal numbering algorithm was proposed to support hybrid connection simulation. It required only one frame element to simulate hinged, rigid and also various hybrid connection types. Results: The implemented software following the new algorithm was tested with two hybrid structure examples. The analysis results are shown in term of shear force, bending moment and axial force. Conclusion: The proposed algorithm does not only improve the ability of connection simulation, but it is also more convenient to implement, debug and expand the finite element software. Hence it reduces the cost, time and effort in developing the computer software.

Highlights

  • In the structural analysis, information of forces in a structure is goal

  • In 1963, the code number algorithm for forming the structural equations was introduced by Tezcan (Kassimali, 1999)

  • The algorithm was developed based on the finite element method

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Summary

Introduction

To analyze forces induced in a structure, a multitude of mathematical operations are required which tend to increase dramatically in larger structures. These operations consume much computational time and are susceptible to error. The algorithm was developed based on the finite element method It has been widely used since because the approach meets programming needs in that it is systematic and convenient. This method is powerful, it, separately implements two components, elements, for truss and frame structural simulation abilities.

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