Non-linear dynamic behaviour of plates on elastic foundations

1977 ◽  
Vol 54 (2) ◽  
pp. 265-271 ◽  
Author(s):  
B.M. Karmakar
1989 ◽  
Vol 3 (1) ◽  
pp. 37-54 ◽  
Author(s):  
M. Mertens ◽  
H. Van der Auweraer ◽  
P. Vanherck ◽  
R. Snoeys

2017 ◽  
Vol 24 (6) ◽  
pp. 951-962 ◽  
Author(s):  
Pham Van Thu ◽  
Nguyen Dinh Duc

AbstractThis paper presents an analytical approach to investigate the non-linear dynamic response and vibration of an imperfect three-phase laminated nanocomposite cylindrical panel resting on elastic foundations in thermal environments. Based on the classical laminated shell theory and stress function, taking into account geometrical non-linearity, initial geometrical imperfection, Pasternak-type elastic foundation, and temperature, the governing equations of the three-phase laminated nanocomposite cylindrical panel are derived. The numerical results for the dynamic response and vibration of the polymer nanocomposite cylindrical panel are obtained by using the Runge-Kutta method. The influences of fibres and nanoparticles, different fibre angles, material and geometrical properties, imperfection, elastic foundations, and temperature on the non-linear dynamic response of the polymer nanocomposite cylindrical panel are discussed in detail.


Buildings ◽  
2021 ◽  
Vol 11 (10) ◽  
pp. 471
Author(s):  
Ilaria Capanna ◽  
Riccardo Cirella ◽  
Angelo Aloisio ◽  
Franco Di Di Fabio ◽  
Massimo Fragiacomo

This paper focuses on the dynamic behaviour of a low-rise masonry building representing the Italian residential heritage through experimental and numerical analyses. The authors discuss an application of combined Operational Modal Analysis and Finite Element Model updating for indirect estimation of the structural parameters. Two ambient vibration tests were carried out to estimate the structure’s dynamic behaviour in operational conditions. The first experimental setup consisted of accelerometers gathered in a row along the first floor to characterize the local dynamic of the floor. Conversely, the second setup had the accelerometers placed at the building’s corners to characterize the global dynamics. The outcomes of the first setup were used to estimate the mechanical parameters of the floor, while the ones form the second were used to characterize the mechanical parameters of the masonry piers. Therefore, two finite element models were implemented: (i) a single beam with an equivalent section of the floor to grasp the local behaviour of the investigated horizontal structure; (ii) an equivalent frame model of the entire building to characterise the global dynamic behaviour. The model updating process was developed in two phases to seize local and global dynamic responses. The updated numerical model formed the basis for a sensitivity analysis using the modelling parameters. The authors chose to delve into the influence of the floor on the dynamic behaviour of low-rise masonry buildings. With this aim, non-linear dynamic analyses were carried out under different mechanical characteristics of floors, expressing the scatter for ordinary masonry buildings. The displacements’ trends along the height of the building evidenced the notable role of the floor’s stiffness in the non-linear dynamic behaviour of the building. Lastly, the authors derived the fragility curves predicting the seismic performance in failure probability under a highly severe damage state.


Author(s):  
L Dai ◽  
L Xu ◽  
B Setiawan

This research presents a new approach to investigating the non-linear dynamic behaviour of partially filled tank vehicles under large-amplitude liquid sloshing. A non-linear impact model for liquid sloshing in partially filled liquid tank vehicles is established for investigating the longitudinal dynamic characteristics of tank vehicles under typical driving conditions. The dynamic fluid motion within the tank is modelled by utilizing an analogy system together with an impact subsystem for longitudinal oscillations. The forces on the fifth wheel and the axles of the vehicle are determined in considering the effects of the liquid sloshing in the tank. The non-linear dynamic behaviours of the tank vehicle subjected to liquid sloshing and the excitations generated by rough roads are analysed and compared with those of linear models. Numerical simulation of the tank vehicle under typical rough road conditions is performed.


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