Steel and Composite Structures

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A force-based element for direct analysis using stress-resultant plasticity model

  • Du, Zuo-Lei (Department of Civil and Environmental Engineering, The Hong Kong Polytechnic University) ;
  • Liu, Yao-Peng (Department of Civil and Environmental Engineering, The Hong Kong Polytechnic University) ;
  • Chan, Siu-Lai (Department of Civil and Environmental Engineering, The Hong Kong Polytechnic University)
  • Received : 2018.02.24
  • Accepted : 2018.08.28
  • Published : 2018.10.25
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Abstract

The plastic hinge method and the plastic zone method are extensively adopted in displacement-based elements and force-based elements respectively for second-order inelastic analysis. The former enhances the computational efficiency with relatively less accurate results while the latter precisely predicts the structural behavior but generally requires more computer time. The displacement-based elements receive criticism mainly on plasticity dominated problems not only in accuracy but also in longer computer time to redistribute the forces due to formation of plastic hinges. The multi-element-per-member model relieves this problem to some extent but will induce a new problem in modeling of member initial imperfections required in design codes for direct analysis. On the contrary, a force-based element with several integration points is sufficient for material yielding. However, use of more integration points or elements associated with fiber section reduces computational efficiency. In this paper, a new force-based element equipped with stress-resultant plasticity model with minimal computational cost is proposed for second-order inelastic analysis. This element is able to take the member initial bowing into account such that one-element-per-member model is adequate and complied with the codified requirements of direct analysis. This innovative solution is new and practical for routine design. Finally, several examples demonstrate the validity and accuracy of the proposed method.

Keywords

Acknowledgement

Grant : Second-order Analysis of Shallow Dome Structures made of Tapering Members, Second-Order Analysis of Flexible Steel Cable Nets Supporting Debris, Development of an Energy Absorbing Device for Flexible Rock-Fall Barriers, Advanced Numerical Analyses for Building Structures Using High Performance Steel Materials

Supported by : Council of the Hong Kong SAR Government, Hong Kong Branch of the Chinese National Engineering Research Centre

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