A platform for research: civil engineering, architecture and urbanism
A platform for research: civil engineering, architecture and urbanism
Large amplitude free vibration analysis of circular arches with variable thickness
https://orcid.org/0000-0002-8589-4781
Highlights The governing equations of variable thickness arches were obtained using the differential quadrature method. The effects of structural parameters and boundary conditions on the frequency amplitude curves of arches were discussed. The nonlinear frequencies of variable thickness arches were related to the structural parameters and vibration amplitudes. Suggestions for designing variable thickness arches with nonlinearity were provided.
Abstract This study aims to investigate the large amplitude nonlinear vibration of variable thickness arches with different cross-sectional shapes under different boundary conditions. The governing equations of the arches are derived using Hamilton's principle by considering their geometric nonlinearities. Then, the differential quadrature method (DQM) is employed for the discretization to obtain the ordinary differential equations of motion for the circular arches with variable thickness. The theoretical model is validated by comparing the linear and nonlinear natural frequencies of arches. The nonlinear vibration characteristics of arches are solved using the direct iteration scheme. The effects of the slenderness ratio, modified slenderness ratio of the arch, and variable thickness parameters under different cross-sectional shapes on the nonlinear to linear frequency ratios of the arches with clamped and pin-ended boundary conditions are investigated. The results indicate that appropriate variable thickness parameters can improve the linear frequency and the nonlinear to linear frequency ratio of arches, which offers some suggestions for the design of variable thickness arches.
Large amplitude free vibration analysis of circular arches with variable thickness
https://orcid.org/0000-0002-8589-4781
Highlights The governing equations of variable thickness arches were obtained using the differential quadrature method. The effects of structural parameters and boundary conditions on the frequency amplitude curves of arches were discussed. The nonlinear frequencies of variable thickness arches were related to the structural parameters and vibration amplitudes. Suggestions for designing variable thickness arches with nonlinearity were provided.
Abstract This study aims to investigate the large amplitude nonlinear vibration of variable thickness arches with different cross-sectional shapes under different boundary conditions. The governing equations of the arches are derived using Hamilton's principle by considering their geometric nonlinearities. Then, the differential quadrature method (DQM) is employed for the discretization to obtain the ordinary differential equations of motion for the circular arches with variable thickness. The theoretical model is validated by comparing the linear and nonlinear natural frequencies of arches. The nonlinear vibration characteristics of arches are solved using the direct iteration scheme. The effects of the slenderness ratio, modified slenderness ratio of the arch, and variable thickness parameters under different cross-sectional shapes on the nonlinear to linear frequency ratios of the arches with clamped and pin-ended boundary conditions are investigated. The results indicate that appropriate variable thickness parameters can improve the linear frequency and the nonlinear to linear frequency ratio of arches, which offers some suggestions for the design of variable thickness arches.
Large amplitude free vibration analysis of circular arches with variable thickness
https://orcid.org/0000-0002-8589-4781
Highlights The governing equations of variable thickness arches were obtained using the differential quadrature method. The effects of structural parameters and boundary conditions on the frequency amplitude curves of arches were discussed. The nonlinear frequencies of variable thickness arches were related to the structural parameters and vibration amplitudes. Suggestions for designing variable thickness arches with nonlinearity were provided.
Abstract This study aims to investigate the large amplitude nonlinear vibration of variable thickness arches with different cross-sectional shapes under different boundary conditions. The governing equations of the arches are derived using Hamilton's principle by considering their geometric nonlinearities. Then, the differential quadrature method (DQM) is employed for the discretization to obtain the ordinary differential equations of motion for the circular arches with variable thickness. The theoretical model is validated by comparing the linear and nonlinear natural frequencies of arches. The nonlinear vibration characteristics of arches are solved using the direct iteration scheme. The effects of the slenderness ratio, modified slenderness ratio of the arch, and variable thickness parameters under different cross-sectional shapes on the nonlinear to linear frequency ratios of the arches with clamped and pin-ended boundary conditions are investigated. The results indicate that appropriate variable thickness parameters can improve the linear frequency and the nonlinear to linear frequency ratio of arches, which offers some suggestions for the design of variable thickness arches.
Large amplitude free vibration analysis of circular arches with variable thickness
Cao, Zhiwei (author) / Yang, Rui (author) / Guo, Hulun (author)
Engineering Structures ; 294
2023-08-25
Article (Journal)
Electronic Resource
English
Parabolic arches of variable thickness
| Engineering Index Backfile | 1964
In-plane Free Vibration Analysis of Laminated Thick Circular Deep Arches
| British Library Online Contents | 2007
In-plane free vibration analysis of laminated thick circular deep arches
| Tema Archive | 2007
Free Vibration of Laminated Composite Circular Arches by Dynamic Stiffness Analysis
| British Library Online Contents | 2008