Much Enlarged Resonant Amplitude of Micro-resonator with Two-degree-of-freedom (2-DOF) Mechanical Coupling Scheme

2001 ◽  
pp. 1078-1081
Author(s):  
Xinxin Li ◽  
Takahito Ono ◽  
Rongming Lin ◽  
Masayoshi Esashi
Keyword(s):  
Degree Of Freedom ◽  
Coupling Scheme ◽  
Mechanical Coupling ◽  
Resonant Amplitude ◽  
Micro Resonator ◽  
Two Degree Of Freedom

Fractal Boundary Explorations for a Nonlinear Two Degree-of-Freedom System

2012 ◽  
Author(s):  
Benjamin A. M. Owens ◽  
Brian P. Mann
Keyword(s):  
Initial Conditions ◽  
Coupled System ◽  
Basins Of Attraction ◽  
Degree Of Freedom ◽  
Fractal Boundary ◽  
Final State ◽  
Potential Wells ◽  
Mechanical Coupling ◽  
Mass Spring ◽  
Two Degree Of Freedom

This paper explores a two degree-of-freedom nonlinearly coupled system with two distinct potential wells. The system consists of a pair of linear mass-spring-dampers with a non-linear, mechanical coupling between them. This nonlinearity creates fractal boundaries for basins of attraction and forced well-escape response. The inherent uncertainty of these fractal boundaries is quantified for errors in the initial conditions and parameter space. This uncertainty relationship provides a measure of the final state and transient sensitivity of the system.

Sign in / Sign up

Export Citation Format

Share Document