Dynamic Bayesian estimation of displacement parameters of continuous curve box based on Novozhilov theory

Zhang, Jian; Jian-shu, YE; Xi-nan, Zhao

doi:10.1007/s10483-007-0110-z

Cited by 9 publications

(20 citation statements)

References 3 publications

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“…The corresponding validation of the FSMCBG procedure is not repeated here because it has been completed in Ref. [10]. Select 6 points (No.…”

Section: Development Of Procedures and Analysis Of Examplesmentioning

confidence: 99%

“…From a large number of computations, compared with the results in Ref. [3], Powell's theory is irrelevant with the calculation of the FCSE partial differentiation, and it is unnecessary to employ the FCSE procedure for extra times. The working time with Powell's theory is about half of that with the conjugate gradient theory, which proves high computation efficiency of the studied Powell's method.…”

Section: Figmentioning

confidence: 99%

“…The structure of thin-walled curve box girders has been widely applied in practical engineering for its own merits, such as the slight weight and the reasonable mechanical form [1][2][3] . With the development of mechanical research of the box girder structure, the advance of construction technology, and the demand of artistry of urban bridges, thin-walled curve box girders are more and more widely adopted.…”

Section: Introductionmentioning

confidence: 99%

“…Obviously, the gradient method is fairly complicated and easily leads to the error accumulation, which has also been proved in Refs. [10][11]. Thus, this paper is directed against thin-walled curve box girders.…”

Section: Introductionmentioning

confidence: 99%

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Powell’s optimal identification of material constants of thin-walled box girders based on Fibonacci series search method

Zhang

Jian-shu

Zhou

2011

Appl. Math. Mech.-Engl. Ed.

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A dynamic Bayesian error function of material constants of the structure is developed for thin-walled curve box girders. Combined with the automatic search scheme with an optimal step length for the one-dimensional Fibonacci series, Powell's optimization theory is used to perform the stochastic identification of material constants of the thin-walled curve box. Then, the steps in the parameter identification are presented. Powell's identification procedure for material constants of the thin-walled curve box is compiled, in which the mechanical analysis of the thin-walled curve box is completed based on the finite curve strip element (FCSE) method. Some classical examples show that Powell's identification is numerically stable and convergent, indicating that the present method and the compiled procedure are correct and reliable. During the parameter iterative processes, Powell's theory is irrelevant with the calculation of the FCSE partial differentiation, which proves the high computation efficiency of the studied methods. The stochastic performances of the system parameters and responses are simultaneously considered in the dynamic Bayesian error function. The one-dimensional optimization problem of the optimal step length is solved by adopting the Fibonacci series search method without the need of determining the region, in which the optimized step length lies.

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“…The corresponding validation of the FSMCBG procedure is not repeated here because it has been completed in Ref. [10]. Select 6 points (No.…”

Section: Development Of Procedures and Analysis Of Examplesmentioning

confidence: 99%

Section: Figmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Powell’s optimal identification of material constants of thin-walled box girders based on Fibonacci series search method

Zhang

Jian-shu

Zhou

2011

Appl. Math. Mech.-Engl. Ed.

Self Cite

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“…And the fibres which low ductility which crack still can be in the form of short fibres with high ductility of the fibre to work together until all fibre fracture in succession [5][6][7]. In order to meet the specific needs in different project, the ratio of the fibre can be adjusted to improve the force performance [8][9]. This paper establishes a nonlinear mechanics model of concrete beam reinforced with prestressed C/GFRP fibre to calculate the reinforced structure and the optimal hybrid C/GFRP ratio is achieved through the systematic calculation based on two main properties which take the strength and ductility properties into consideration.…”

Section: Introductionmentioning

confidence: 99%

Typical Loads of Concrete Beams Strengthened with FRP Sheet

Feng¹,

Jian²,

Ye³

et al. 2017

Proceedings of the 2017 5th International Conference on Mechatronics, Materials, Chemistry and Computer Engineering (ICMMCCE 20

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Abstract:The reinforced technology by using FRP sheet has a certain application in practical engineering, it basically adopts the passive paste of non prestressed FRP sheet to raise the bearing capacity of components. Carbon fibre has high tensile strength and modulus of elasticity, but the ductility of the carbon fibre is poor. Relative to the carbon fibres, glass fibre plays a complementary role. It is a new reinforcement technique to reinforced concrete beams by prestressed FRP. Based on the theory of hierarchical units, a calculation model of reinforced concrete beam is established for the prestressed strengthened beams in FRP. The overall dates of the concrete beam under loads at three dividing point are analyzed. Comparative analysis of yield load, ultimate load, deformation and ductility performance has been worked out. Typical loads of concrete beams strengthened with FRP fibre sheets are analyzed in detail in this paper.

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Nonlinear Performance of Concrete Beam Reinforced with Prestressed Hybrid Cfrp/Gfrp Composite Sheet

Zhang

Jia

Jun

2018

Advanced Composites Letters

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The consolidation technology of prestressed hybrid fibre CFRP/GFRP sheet takes full advantages of the initiative of the prestressed reinforcement and force transferring of the composite materials features, which belongs to relatively advanced reinforcement strategies in reinforcement area. This paper derives nonlinear composite element and shell element to simulate concrete beam and the prestressed hybrid fibre CFRP/GFRP sheet. Besides, the characters of nonlinear concrete beams are described by the Owen yielding criterion and the Hinton crushing criterion. Meanwhile, the three-dimensional prestressing effects of the composite CFRP/GFRP materials have been realized and the nonlinear finite element computer program of reinforced system has been compiled. In order to determine the best stress condition of prestressed hybrid fibre CFRP/GFRP composite materials, the optimal hybrid CFRP/GFRP ratio is achieved through the systematic calculation based on two main properties which take the strength and ductility properties into consideration. The results show that the optimal CFRP/GFRP hybrid ratio is one of the major factors to impact its mechanical properties of the reinforced structure which has been strengthened by the prestressed hybrid fibre CFRP/GFRP sheet. And the theoretical method and calculation model that determine the optimal hybrid CFRP/GFRP ratio in this paper is reasonable and reliable. The research conclusions can be used as a reference in practice construction design.

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Dynamic Bayesian estimation of displacement parameters of continuous curve box based on Novozhilov theory

Cited by 9 publications

References 3 publications

Powell’s optimal identification of material constants of thin-walled box girders based on Fibonacci series search method

Powell’s optimal identification of material constants of thin-walled box girders based on Fibonacci series search method

Typical Loads of Concrete Beams Strengthened with FRP Sheet

Nonlinear Performance of Concrete Beam Reinforced with Prestressed Hybrid Cfrp/Gfrp Composite Sheet

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