Nonlinear Dynamic Buckling for Truncated Sandwich Shallow Conical Shell Structure Subjected to Pulse Impact

2012 ◽  
Vol 252 ◽  
pp. 93-97 ◽  
Author(s):  
Ming Qiao Tang ◽  
Jia Chu Xu
Keyword(s):  
Shell Structure ◽  
Conical Shell ◽  
Nonlinear Dynamic ◽  
Dynamic Buckling ◽  
Physical Parameters ◽  
Kutta Method ◽  
Spherical Shells ◽  
Nonlinear Dynamic Response ◽  
Shallow Conical Shell ◽  
Runge Kutta Method

Nonlinear dynamic buckling for sandwich shallow conical shell structure under uniform triangular pulse is investigated. Based on the Reissner’s assumption and Hamiton’s principle, the nonlinear dynamic governing equation of sandwich shallow spherical shells is derived. The corresponding nonlinear dynamic response equations are obtained by Galerkin method and solved by Runge-Kutta method. Budiansky-Roth criterion expressed by displacements of rigid center is employed to determine the critical impact bucking load. The effects of geometric parameters and physical parameters on impact buckling are discussed.

The Effects of Bearing Stiffness on Nonlinear Dynamic Behaviors of Multi-Mesh Gear Train

2012 ◽  
Author(s):  
T. N. Shiau ◽  
T. H. Young ◽  
J. R. Chang ◽  
K. H. Huang ◽  
C. R. Wang
Keyword(s):  
Chaotic Motion ◽  
Nonlinear Dynamic ◽  
Equations Of Motion ◽  
Nonlinear Dynamic Analysis ◽  
Gear Train ◽  
Time Varying ◽  
Kutta Method ◽  
Dynamic Behaviors ◽  
Runge Kutta Method ◽  
Bearing Stiffness

In this study, the nonlinear dynamic analysis of the multi-mesh gear train with elastic bearing effect is investigated. The gear system includes the three rigid shafts, two gear pairs and elastic bearings. The stiffness and damper coefficient of elastic bearing are considered. The equations of motion of nonlinear time-varying system are derived using Lagrangian approach. The Runge-Kutta Method is employed to determine the system dynamic behaviors including the bifurcation and chaotic motion. The results show that the periodic motion, quasi-periodical motion and chaos can be excited with the elastic bearing effect. Especially, the results also indicate the dynamic response will go from periodic to quasi-periodical before the chaotic motion when the bearing stiffness is increased.

Nonlinear Dynamic Response of a Tension Leg Platform

1999 ◽  
Vol 121 (4) ◽  
pp. 219-226 ◽  
Author(s):  
P. Bar-Avi
Keyword(s):  
Environmental Conditions ◽  
Nonlinear Dynamic ◽  
Equations Of Motion ◽  
Continuous System ◽  
Offshore Structures ◽  
Physical Parameters ◽  
Wave Forces ◽  
Tension Leg Platform ◽  
Nonlinear Dynamic Response ◽  
Nonlinear Equations Of Motion

Of the classes of offshore structures, the tension leg platform (TLP) is particularly well suited for deepwater operation. The structure investigated in this paper is assumed to consist of a flexible cable attached to a buoyant deck at the top. The cable is modeled as a beamlike continuous system subjected to wave, current, and wind forces. The derivation of the nonlinear equations of motion include nonlinearities due to geometry as well as due to wave forces. The equations of motion are solved and the TLP’s response to various environmental conditions and other physical parameters is evaluated.

Accuracy and Reliability of Piecewise-Constant Method in Studying the Responses of Nonlinear Dynamic Systems

2015 ◽  
Vol 10 (2) ◽  
Author(s):  
Liming Dai ◽  
Xiaojie Wang ◽  
Changping Chen
Keyword(s):  
Numerical Methods ◽  
Dynamic Systems ◽  
Nonlinear Dynamic ◽  
Nonlinear Dynamical Systems ◽  
Nonlinear Dynamic Systems ◽  
Processing Unit ◽  
Kutta Method ◽  
Piecewise Constant ◽  
Runge Kutta Method ◽  
Runge Kutta

Accuracy and reliability of the numerical simulations for nonlinear dynamical systems are investigated with fourth-order Runge–Kutta method and a newly developed piecewise-constant (P-T) method. Nonlinear dynamic systems with external excitations are studied and compared with the two numerical approaches. Semianalytical solutions for the dynamic systems are developed by the P-T approach. With employment of a periodicity-ratio (PR) method, the regions of regular and irregular motions are determined and graphically presented corresponding to the system parameters, for the comparison of accuracy and reliability of the numerical methods considered. Central processing unit (CPU) time executed in the numerical calculations with the two numerical methods are quantitatively investigated and compared under the same computational conditions. Due to its inherent drawbacks, as found in the research, Runge–Kutta method may cause information missing and lead to incorrect conclusions in comparing with the P-T method.

scholarly journals Nonlinear Dynamic Response of Nano-composite Sandwich Annular Spherical Shells

2019 ◽  
Vol 35 (3) ◽  
Author(s):  
Nguyen Dinh Duc ◽  
Vu Thi Thuy Anh ◽  
Vu Thi Huong ◽  
Vu Dinh Quang ◽  
Pham Dinh Nguyen
Keyword(s):  
Dynamic Response ◽  
Nonlinear Dynamic ◽  
Functionally Graded ◽  
Geometrical Parameters ◽  
Spherical Shells ◽  
Theoretical Formulation ◽  
Nonlinear Dynamic Response ◽  
Composite Sandwich ◽  
Reinforced Composite ◽  
Classical Shell Theory

Abstract: In this research, the nonlinear dynamic response of functionally graded carbon nanotube reinforced composite (FG-CNTRC) sandwich annular spherical shells supported by Pasternak’ foundation is considered by using the analytical approach. Unlike existing works, the structure has three layers: FG-CNTRC layer – homogeneous core – FG-CNTRC layer. Several examples are considered to analyse the behaviour of this sandwich-structured composite. The classical shell theory (CST) is used to derive theoretical formulation delineating nonlinear dynamic response of FG-CNTRC sandwich annular spherical shells. The numerical results explain the effect of material, geometrical parameters, and elastic foundations on the nonlinear dynamic response of the annular spherical shell.  

scholarly journals Nonlinear analysis of high accuracy and reliability in traffic flow prediction

2020 ◽  
Vol 9 (1) ◽  
pp. 290-298
Author(s):  
Liming Dai ◽  
Luyao Wang
Keyword(s):  
Traffic Flow ◽  
Dynamic Behavior ◽  
Nonlinear Dynamic ◽  
High Accuracy ◽  
Kutta Method ◽  
Duffing System ◽  
Traffic Flow Prediction ◽  
Runge Kutta Method ◽  
Flow Prediction ◽  
Nonlinear Dynamic Behavior

AbstractFor quantitatively identifying the chaotic patterns in traffic flow prediction, certain types of Duffing systems can be used. The accuracy and reliability of numerical results of the system’s solution have significant influence on the traffic flow prediction. The nonlinear dynamic behavior of Duffing system used for the traffic flow prediction is investigated in this research. The solutions of the system are developed and solved numerically by using the P-T method. The regular and irregular responses of the system considered are graphically illustrated with the newly developed P-R method. Based on the results of the research, the frequency and amplitude of the external excitations applied on the system significantly affecting the nonlinear dynamic behavior therefore the traffic flow prediction in transferring the results by Wigner-Ville transform. Additionally, a comparison between the P-T and Runge-Kutta method is conducted in regarding the accuracy and reliability of the methods.

Sign in / Sign up

Export Citation Format

Share Document