Organization of product tests in the microelectronic and optical-electronic industries by the impact method is considered. Two mathematical models: a circular plate under dynamic loading with predetermined initial conditions, and contact interaction of a falling mass and a barrier, are examined. The deflection function, curvature, and acceleration are determined. As the series for these characteristics may prove divergent, the problem is to secure sufficiently reliable results. The method of impact mechanics permits determination of the duration and force of the impact, estimation of the total energy of each mode in the expansion of the deflection function and preclusion of divergent series when determining the plate acceleration and curvature during the vibration process. In parallel, viscoelasticity is simulated with the aid of a fractional-differentiation operator, certain features of which are discussed. Representation of this operator with time-dependent order by ones with constant orders is considered. Three alternative approaches for determination of the eigenfrequency and damping decrement of a vibration process are examined. In particular, a method for calculating these characteristics under conditions of time-dependence and servo control of the order function is proposed.
Skip Nav Destination
Article navigation
February 2008
Research Papers
Response of Viscoelastic Plate to Impact
J. Suzdalnitsky
J. Suzdalnitsky
Search for other works by this author on:
D. Ingman
J. Suzdalnitsky
J. Vib. Acoust. Feb 2008, 130(1): 011010 (8 pages)
Published Online: November 15, 2007
Article history
Received:
February 22, 2006
Revised:
February 7, 2007
Published:
November 15, 2007
Citation
Ingman, D., and Suzdalnitsky, J. (November 15, 2007). "Response of Viscoelastic Plate to Impact." ASME. J. Vib. Acoust. February 2008; 130(1): 011010. https://doi.org/10.1115/1.2731416
Download citation file:
Get Email Alerts
Comprehensive Analysis of Input Shaping Techniques for a Chain Suspended From an Overhead Crane
J. Vib. Acoust (August 2024)
Related Articles
An Approximated Harmonic Balance Method for Nonlinear Vibration of
Viscoelastic Structures
J. Eng. Mater. Technol (July,2006)
Evolution of Wrinkles in Elastic-Viscoelastic Bilayer Thin Films
J. Appl. Mech (November,2005)
Dynamic Viscoelastic Rod Stability Modeling by Fractional Differential Operator
J. Appl. Mech (January,2008)
Transient Response of Circular, Elastic Plates to Point Loads
J. Comput. Nonlinear Dynam (July,2009)
Related Chapters
Linear Viscoelasticity
Introduction to Plastics Engineering
Polymer Viscoelasticity
Introduction to Plastics Engineering
Non-Invasive Method for Measuring Local Viscoelasticity of Arterial Vessels
Biomedical Applications of Vibration and Acoustics in Imaging and Characterizations