Structural response of existing spatial truss roof construction based on Cosserat rod theory

Miśkiewicz, Mikołaj

doi:10.1007/s00161-018-0660-8

Cited by 8 publications

(6 citation statements)

References 61 publications

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“…Their application is shown, e.g. in [55], and similar FE was also developed by Smoleński in [51]. The constitutive relation for the beam is given as…”

Section: Shell and Beam 6-parameter Fementioning

confidence: 91%

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On FEM analysis of Cosserat-type stiffened shells: static and stability linear analysis

Burzyński

2020

Continuum Mech. Thermodyn.

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The present research investigates the theory and numerical analysis of shells stiffened with beams in the framework based on the geometrically exact theories of shells and beams. Shell’s and beam’s kinematics are described by the Cosserat surface and the Cosserat rod, respectively, which are consistent including deformation and strain measures. A FEM approximation of the virtual work principle leads to the conforming shell and beam FE with 6 DoFs (including the drilling rotation for shells) in each node. Examples of static and stability linear analyses are included. Novel design formulas for the stability of stiffened shells are included.

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“…Their application is shown, e.g. in [55], and similar FE was also developed by Smoleński in [51]. The constitutive relation for the beam is given as…”

Section: Shell and Beam 6-parameter Fementioning

confidence: 91%

“…Details of derivations could be found, e.g. in [54] (for shells) and in [55] (for rods). It is important to mention that further derivations will be made without any simplifications nor additional assumptions.…”

Section: Equilibrium Conditions Virtual Work Principlementioning

confidence: 99%

On FEM analysis of Cosserat-type stiffened shells: static and stability linear analysis

Burzyński

2020

Continuum Mech. Thermodyn.

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“…The general nonlinear 6-parameter shell theory is developed in the mixed approach that is neither purely derived nor direct and was described, for example, in [51,52]. The theory accommodates naturally finite displacements and finite rotations and has the same kinematical structure as Cosserat rods, see [53]. The strong ellipticity condition and its weak form known as Hadamard inequality were discussed for the nonlinear 6-parameter shell theory in [54].…”

Section: Hu-washizu Functional In the Nonlinear 6-parameter Shell Theorymentioning

confidence: 99%

Robust four-node elements based on Hu–Washizu principle for nonlinear analysis of Cosserat shells

Daszkiewicz

Witkowski

Burzyński

et al. 2019

Continuum Mech. Thermodyn.

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Mixed 4-node shell elements with the drilling rotation and Cosserat-type strain measures based on the three-field Hu-Washizu principle are proposed. In the formulation, apart from displacement and rotation fields, both strain and stress resultant fields are treated as independent. The elements are derived in the framework of a general nonlinear 6-parameter shell theory dedicated to the analysis of multifold irregular shells. The novelty of the developed elements stems from the fact that the measures of assumed strains and stress resultants are asymmetric. The original interpolation of drilling and bending components of strains and stress resultants is proposed. In the formulation of new mixed elements, two variants of the interpolation of membrane components are used and interpolation of the independent fields is defined in the natural or skew coordinates. Accuracy and efficiency of the developed elements are tested in several linear and nonlinear numerical examples. It is shown that smaller number of independent parameters in the interpolation of membrane components gives more accurate results. The proposed mixed 4-node elements enable the use of large load steps in nonlinear computations. Moreover, they require significantly less equilibrium iterations than other shell elements formulated in the 6-parameter shell theory. Keywords Shell • Finite element • Mixed element • Cosserat • Asymmetric strains • Drilling rotation 1 Introduction Thin-walled shell structures are widely used in different branches of industry, e.g. aircraft, automotive, civil engineering. However, these structures are very sensitive to loss of stability and local damage, like delamination, cracking, etc. The detailed and comprehensive nonlinear analysis (postbuckling, damage, plasticity) requires an appropriately refined finite element discretization. Hence, accuracy and efficiency of the shell element formulation play both essential roles in fast and correct design process of thin-walled shell structures. Moreover, Communicated by Andreas Öchsner.

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“…This accounts for a significant proportion of major fatalities that occur among pedestrians, amounting to about 75% in built-up areas and 50% in non-built-up areas. The major cause of accident occurrence among pedestrians is failure to give way for other road users (Miśkiewicz 2019;Bartoszewski and Lessear 2017). Pedestrian crossing is known to cause congestion (NuktaRamadani et al 2017).…”

Section: Introductionmentioning

confidence: 99%

Usage of pedestrian overpass in Akure, Nigeria

2021

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Background This study addressed the safety challenge, motivation, and utilization factors regarding the usage of the pedestrian overpass by different people of dissimilar ages alongside Oba Adeshida road at Oja-Oba (Oba market) in Akure, Ondo State, Nigeria. It addressed the following objectives: determined the value of the pedestrian overpass as used by people of different ages; examined the reasons for using the pedestrian overpass in Akure; and examined the performance level of a pedestrian overpass in Akure. Methods In total, 384 users (who used the bridge) were purposively sampled for questionnaire administration, but 324 users participated in the questionnaire, which included multiple-choice and open-ended questions. Also, personal observation was employed for queue analysis. The “Semantic Differential Scale” and single-server queue system for the single queue were employed for data analysis. Conclusions In Akure, there was low or no usage of the pedestrian overpass when the road median was made use of metal and low concrete; but when the road median was made use of high concrete barrier, there was high usage of the pedestrian overpass. It also revealed that the engineering design of the pedestrian overpass is low compared to the contemporary design solutions in addressing the urban societal needs. The pedestrian overpass was used frequently and every day because it provides access to the car park, market, and central mosque. The performance of the pedestrian overpass in Akure is 105% which indicates that the pedestrian overpass is over-utilized by a pedestrian. It is recommended that there is a need to construct another pedestrian overpass to enhance the efficiency of the structure. The existing and future pedestrian overpass should be redesigned to constitute interesting aesthetics and architectural solutions that could harmonize with the environment and enhance flow of the disabled persons.

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Structural response of existing spatial truss roof construction based on Cosserat rod theory

Cited by 8 publications

References 61 publications

On FEM analysis of Cosserat-type stiffened shells: static and stability linear analysis

On FEM analysis of Cosserat-type stiffened shells: static and stability linear analysis

Robust four-node elements based on Hu–Washizu principle for nonlinear analysis of Cosserat shells

Usage of pedestrian overpass in Akure, Nigeria

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