State-Space Formulation for Structural Analysis with Coupled Degradation-Plasticity and Geometric Nonlinearity

Amir, M.; Παπακωνσταντίνου, Κωνσταντίνος; Warn, Gordon P.

doi:10.1061/(asce)st.1943-541x.0003152

Cited by 6 publications

(3 citation statements)

References 67 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…(1) Rusch's exact method is used to solve the problem of the redistribution of shrinkage and creep internal force of composite beams, and it is necessary to solve the coupled differential equations [28][29][30]. e volume of calculation is large with the complicated process.…”

Section: Discussionmentioning

confidence: 99%

The Simplified Analytical Algorithm to the Time Effect of the Simple-Supported Steel and Concrete Composite Beam

Yao

Zhou

et al. 2022

Computational Intelligence and Neuroscience

View full text Add to dashboard Cite

Based on Rusch’s creep constitutive relation, differential equations for the redistribution of shrinkage internal force and creep of the composite beam are derived and solved. The closed solution is cumbersome and is inconvenient to be applied practically. It is hard to solve the accurate solution for coupled differential equations. Therefore, a simplified approach is given. However, it ignores the influence of the redistribution of bending moment of the concrete slab on the axial strain and removes the coupling relationship of differential equations so that it makes the solution become convenient. The comparison of the results calculated by the two approaches shows that their calculated errors are small, within 3%, when the stiffness ratio of the concrete slab and the steel beam are less than 0.185. It also shows that the greater the stiffness of the steel beam, the greater the constraint on the creep of the concrete slab, so is the redistribution of internal force.

show abstract

Section: Discussionmentioning

confidence: 99%

The Simplified Analytical Algorithm to the Time Effect of the Simple-Supported Steel and Concrete Composite Beam

Yao

Zhou

et al. 2022

Computational Intelligence and Neuroscience

View full text Add to dashboard Cite

show abstract

“…Based on previous research, Chen et al [ 20 ] selected the constitutive model for simulating aluminum alloy tube confined marine concrete columns. This model was proposed by Ramberg-Osgood [ 23 ] and has been widely used to simulate the compressive response of aluminum alloys. This model can effectively reproduce the different nonlinear behaviors of aluminum alloy and steel.…”

Section: Methodsmentioning

confidence: 99%

Experimental study and numerical analysis on axial compression of round-ended concrete filled CFRP-aluminum tube columns

Wang,

Tang,

Qiu

et al. 2023

PLoS ONE

View full text Add to dashboard Cite

To enhance the concrete confinement ability of circular-ended aluminum alloy tubes, carbon fiber reinforced polymer (CFRP) was bonded onto the tube surface to form CFRP confined concrete columns with circular ends (RCFCAT). Eight specimens were designed with number of CFRP layers and section aspect ratio as variables. Axial loading test and finite element analysis were carried out. Results showed CFRP delayed buckling of the aluminum alloy tube flat surfaces, transforming inclined shear buckling failure into CFRP fracture failure. Specimens with aspect ratio above 4 experienced instability failures. Under same cross-section, CFRP increased axial compression bearing capacity and ductility by up to 30.8% and 43.4% respectively. As aspect ratio increased, enhancement coefficients of bearing capacity and ductility gradually decreased, the aspect ratio is restrictive when it is less than 2.5. CFRP strengthening increased initial axial compression stiffness of specimens by up to 117.9%. The stiffness decreased gradually with increasing aspect ratio, with most significant increase at aspect ratio of 4. Strain analysis showed CFRP bonding remarkably reduced circumferential and longitudinal strains. Confinement effect was optimal at aspect ratio around 2.0. The rationality of the refined FE model established has been verified in terms of load displacement curves, capturing circular aluminum tube oblique shear buckling, concrete "V" shaped crushing, and CFRP tearing during specimen failure. The parameter analysis showed that increasing the number of CFRP layers is one of the most effective methods for improving the ultimate bearing capacity of RCFCAT.

show abstract

“…Recently, an alternative approach to topology optimization of frame structures considering material nonlinearity has been suggested. [24][25][26] With this approach, a hysteretic FE modeling scheme [27][28][29][30][31] is employed, whereby nonlinearity is modeled through hysteretic degrees-of-freedom (DOF) that evolve according to nonlinear first-order ordinary differential equations (ODEs) (evolution equations), while distributed plasticity is considered through appropriate hysteretic interpolation functions. Owing to the first-order mathematical form of the hysteretic FE model, the entire system of governing equations, that is, the dynamic equilibrium and evolution equations, can thus be straightforwardly expressed as a set of nonlinear ODEs and solved using general ODE solution methods.…”

Section: Introductionmentioning

confidence: 99%

Topology optimization of structural frames based on a nonlinear Timoshenko beam finite element considering full interaction

Changizi

Amir

Warn

et al. 2022

Numerical Meth Engineering

View full text Add to dashboard Cite

This article presents an approach for the topology optimization of frame structures composed of nonlinear Timoshenko beam finite elements (FEs) under time-varying excitation. Material nonlinearity is considered with a nonlinear Timoshenko beam FE model that accounts for distributed plasticity and axial-shear-moment interactions through appropriate hysteretic interpolation functions and a yield/capacity function, respectively. Hysteretic variables for curvature, shear, and axial deformations represent the nonlinearities and evolve according to first-order nonlinear ordinary differential equations (ODEs).Owing to the first-order representation, the governing dynamic equilibrium equations, and hysteretic evolution equations can thus be concisely presented as a combined system of first-order nonlinear ODEs that can be solved using a general ODE solver. This avoids divergence due to an ill-conditioned stiffness matrix that can commonly occur with Newmark-Newton solution schemes that rely upon linearization. The approach is illustrated for a volume minimization design problem, subject to dynamic excitation where an approximation for the maximum displacement at specified nodes is constrained to a given limit, that is, a drift ratio. The maximum displacement is approximated using the p-norm, thus facilitating the derivation of the analytical sensitivities for gradient-based optimization. The proposed approach is demonstrated through several numerical examples for the design of structural frames subjected to sinusoidal base excitation.

show abstract

State-Space Formulation for Structural Analysis with Coupled Degradation-Plasticity and Geometric Nonlinearity

Cited by 6 publications

References 67 publications

The Simplified Analytical Algorithm to the Time Effect of the Simple-Supported Steel and Concrete Composite Beam

The Simplified Analytical Algorithm to the Time Effect of the Simple-Supported Steel and Concrete Composite Beam

Experimental study and numerical analysis on axial compression of round-ended concrete filled CFRP-aluminum tube columns

Topology optimization of structural frames based on a nonlinear Timoshenko beam finite element considering full interaction

Contact Info

Product

Resources

About