Electrical interactions between molecular vibrations can be non-linear and thereby produce intermolecular coupling even in the absence of a chemical bond. We use this fact to detect the formation of an intermolecular complex using electron-vibration-vibration two-dimensional infrared spectroscopy (EVV 2DIR) and also to determine the distance and angle between the two molecular species.

Non-linear flexural vibration of beams with various boundary conditions such as hinged–hinged, clamped–clamped and clamped–hinged has been extensively studied using analytical approaches and numerical methods like FEM. A detailed review has been brought out by Rosenberg [1] and Satyamoorthy [2]. However, the investigation pertaining to the cantilever case, which is also of practical interest, i...

Porumamilla, Hemanth, "Modeling, analysis and non-linear control of a novel pneumatic semi-active vibration isolator: a concept validation study" (2007). Retrospective Theses and Dissertations. Paper 15765.

This paper presents two time methods to identify weak non-linearities on damping and stiffness of a free vibrating system. Only the displacement is known. The first method is a direct parameter estimation method : using the measured displacement data of the system we obtain by numerical differentiation velocity and acceleration. A linear system containing the parameters is then derived. A least...

0

Article history: Received: 06.02.2015. Received in revised form: 11.05.2015. Accepted: 15.05.2015. Due to the shortcomings of one mass vibration mill such as inefficiency, high energy consumption and big noise, a double mass high energy vibration mill, in which transient high vibration intensity is produced, is investigated by applying the non linear vibration theory. The nonlinear hard feature...