THIRD-ORDER GENERALISED BEAM THEORY AND CALCULATION METHOD

Zhao Rujiang

doi:10.6052/0459-1879-14-033

Volume 46 Issue 6

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Zhao Rujiang. THIRD-ORDER GENERALISED BEAM THEORY AND CALCULATION METHOD[J]. Chinese Journal of Theoretical and Applied Mechanics, 2014, 46(6): 987-993. doi: 10.6052/0459-1879-14-033

Citation:

Zhao Rujiang. THIRD-ORDER GENERALISED BEAM THEORY AND CALCULATION METHOD[J]. Chinese Journal of Theoretical and Applied Mechanics, 2014, 46(6): 987-993. doi: 10.6052/0459-1879-14-033

Zhao Rujiang. THIRD-ORDER GENERALISED BEAM THEORY AND CALCULATION METHOD[J]. Chinese Journal of Theoretical and Applied Mechanics, 2014, 46(6): 987-993. doi: 10.6052/0459-1879-14-033

Citation:

Zhao Rujiang. THIRD-ORDER GENERALISED BEAM THEORY AND CALCULATION METHOD[J]. Chinese Journal of Theoretical and Applied Mechanics, 2014, 46(6): 987-993. doi: 10.6052/0459-1879-14-033

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THIRD-ORDER GENERALISED BEAM THEORY AND CALCULATION METHOD

doi: 10.6052/0459-1879-14-033

Zhao Rujiang

The Construction Command Center of Sino-Singapore Guangzhou Knowledge City, Guangzhou 510555, China

Received Date: 2014-06-03
Rev Recd Date: 2014-08-20
Publish Date: 2014-11-18

Abstract

Abstract

First-order Generalised Beam Theory (GBT) analysis can be used to describe the behaviour of prismatic structures by using deformation functions for bending, torsion and distortion in ordinary uncoupled differential equations. In second-order GBT, the differential equations then are involved with the effect of deviating forces. By derived the virtual works of two membrane stress terms into the GBT system, we can obtain the complete expansions of the third order GBT equation in the form of a series of large discretized iterated functions, which can be converted to sets of tangent stiffness matrices for further numerical analyses. By introducing the membrane stresses as the third order terms ^ijrkv_σ and ^ijrkv_τ and using advanced numerical techniques to find a complete solution, the third-order Generalised Beam Theory becomes a rigorous and efficient numerical tool to investigate large deflection behaviours in post-buckling of thin-walled structures.
- thin-walled members,
- third-order generalised beam theory,
- large discretized iterated functions

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References(18)

References

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