On the Multi-Degree of Freedom, Nonlinear Dynamics of Ship Motions with Application to the Broaching Problem

1999 ◽  
pp. 417-424 ◽  
Author(s):  
K. J. Spyrou ◽  
S. R. Bishop
Keyword(s):  
Nonlinear Dynamics ◽  
Degree Of Freedom ◽  
Ship Motions

Nonlinear dynamics and chaos of a finite-degree-of-freedom model of a buckled rod

Meccanica ◽  
1996 ◽  
Vol 31 (3) ◽  
pp. 273-291 ◽  
Author(s):  
S. V. Sorokin ◽  
D. M. Tcherniak
Keyword(s):  
Nonlinear Dynamics ◽  
Degree Of Freedom ◽  
Finite Degree ◽  
Nonlinear Dynamics And Chaos

scholarly journals Numerical Solution of High-Dimensional Nonlinear Rotor-Bearing Dynamic System with Precise Integration

2014 ◽  
Vol 8 (1) ◽  
pp. 264-269
Author(s):  
Guangtian Shi
Keyword(s):  
Nonlinear Dynamics ◽  
Numerical Solution ◽  
High Precision ◽  
Integration Method ◽  
Rotor System ◽  
Degree Of Freedom ◽  
High Dimensional ◽  
Precise Integration ◽  
Precise Integration Method ◽  
Rotor Bearing

Through an example of rotor system which has multi-degree of freedom mounted on the nonlinear fluid film bearings, this paper analyzes the precise integration algorithm, a new numerical solution for high–dimensional nonlinear dynamics system. The precise integration method has advantages of long step, high precision and absolute stability for solving nonlinear dynamics equations. To make good use of the method, firstly, the precise integral iterative formula is given and then the mechanism of controlling high precision and efficiency is discussed. The evolution of precise integration method is an algorithm with explicit, simple form, self-start, and fast to solve nonlinear dynamics equations. High power of athwart of Hamiltonian matrix is not needed, so it is convenient in this case. The stability of period response of nonlinear rotor-bearing system is analyzed by employing the precise integration method. The bifurcation rules of the period response of the elastic rotor system with multi-degree of freedom are obtained and the chaos of the system is determined according to the fractal dimension of Poincare mapping of phase space at a certain speed.

Tow-Cable Snap Loads

1965 ◽  
Vol 2 (01) ◽  
pp. 42-49
Author(s):  
Lewis Schneider ◽  
L. Grady Burton ◽  
Thomas Mahan
Keyword(s):  
Large Amplitude ◽  
Equations Of Motion ◽  
Degree Of Freedom ◽  
Ship Motions ◽  
Body Density ◽  
Dynamical Equations ◽  
Dynamic Stresses ◽  
Single Degree Of Freedom ◽  
Single Degree ◽  
Tension Recovery

When towing submerged bodies such as sonar vehicles or oceanographic instrument packages, the tow cable may be subjected to severe loadings because of large-amplitude ship motions. These motions first cause the cable to become slack and subsequently subject it to impact stresses at the instant of tension recovery. A typical body, cable, and oscillating tow-point assemblage is idealized as a single-degree-of-freedom system and the dynamical equations of motion are solved over a broad range of forcing amplitudes and periods and system compliance. The effects of such parameters as body density and cable compliance in attenuating the dynamic stresses are discussed.

Analysis of Reversal Behavior for an Automobile Wiper Blade

2007 ◽  
Author(s):  
Yuki Takebe ◽  
Masatsugu Yoshizawa ◽  
Tuneo Akuto ◽  
Takeshi Yoda ◽  
Katuya Kamiyama
Keyword(s):  
Nonlinear Dynamics ◽  
Numerical Simulation ◽  
Dynamic Behavior ◽  
Analytical Model ◽  
Nonlinear Equations ◽  
Degree Of Freedom ◽  
Mass System ◽  
The Real ◽  
Dynamic Motion

The development of a numerical simulation has been demanded for improving the automobile wiper systems from the industrial viewpoints. It is widely known that, however, vibrations caused by the wiping motion cause a trouble of wiping. Several studies have been carried out to investigate the dynamic behavior of the wiper systems. However, the phenomena have not yet been theoretically analyzed. The purpose of this research is to develop a numerical simulation of the reversal behavior of a wiper blade. To begin with, the experiment was conducted with the real wiper systems to observe the reversal behavior of the wiper blade. After observing its motion, an analytical model was developed to essentially characterize the wiper systems. The model is composed of a multi-degree-of-freedom spring-mass system with restraint conditions to ensure the contact between a blade and a wind-shield at all time. The dynamic motion and the mechanism of the reversal behavior of the wiper blade were investigated by using nonlinear equations. Furthermore, the above phenomena were discussed using the nonlinear equations of the vibration of the wiper blade from the viewpoint of the nonlinear dynamics.

scholarly journals Vector Rotators of Rigid Body Dynamics with Coupled Rotations around Axes without Intersection

2011 ◽  
Vol 2011 ◽  
pp. 1-26 ◽  
Author(s):  
Katica R. (Stevanović) Hedrih ◽  
Ljiljana Veljović
Keyword(s):  
Nonlinear Dynamics ◽  
Rigid Body ◽  
Degrees Of Freedom ◽  
Rigid Body Dynamics ◽  
Degree Of Freedom ◽  
Inertia Moment ◽  
Vector Method ◽  
Mass Moment ◽  
Body Dynamics ◽  
Angular Velocities

Vector method based on mass moment vectors and vector rotators coupled for pole and oriented axes is used for obtaining vector expressions for kinetic pressures on the shaft bearings of a rigid body dynamics with coupled rotations around axes without intersection. Mass inertia moment vectors and corresponding deviational vector components for pole and oriented axis are defined by K. Hedrih in 1991. These kinematical vectors rotators are defined for a system with two degrees of freedom as well as for rheonomic system with two degrees of mobility and one degree of freedom and coupled rotations around two coupled axes without intersection as well as their angular velocities and intensity. As an example of defined dynamics, we take into consideration a heavy gyrorotor disk with one degree of freedom and coupled rotations when one component of rotation is programmed by constant angular velocity. For this system with nonlinear dynamics, a series of tree parametric transformations of system nonlinear dynamics are presented. Some graphical visualization of vector rotators properties are presented too.

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