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Related Experiment Video

Updated: Jul 13, 2026

Real-Time DC-dynamic Biasing Method for Switching Time Improvement in Severely Underdamped Fringing-field Electrostatic MEMS Actuators

Real-Time DC-dynamic Biasing Method for Switching Time Improvement in Severely Underdamped Fringing-field Electrostatic MEMS Actuators

Published on: August 15, 2014

Pseudo-damping in undamped plates and shells.

A Carcaterra¹, A Akay, F Lenti

¹Department of Mechanics and Aeronautics, University of Rome, La Sapienza, Rome, Italy. a.carcaterra@dma.ing.uniroma1.it

The Journal of the Acoustical Society of America

|August 4, 2007

Summary

Pseudo-damping, a phenomenon where structures lose amplitude without energy loss, occurs due to specific frequency distributions. This study explores its development in two-dimensional systems like plates and shells.

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Last Updated: Jul 13, 2026

Real-Time DC-dynamic Biasing Method for Switching Time Improvement in Severely Underdamped Fringing-field Electrostatic MEMS Actuators

Real-Time DC-dynamic Biasing Method for Switching Time Improvement in Severely Underdamped Fringing-field Electrostatic MEMS Actuators

Published on: August 15, 2014

Area of Science:

Structural Mechanics
Vibrational Analysis
Applied Mathematics

Background:

Pseudo-damping is an unexplained amplitude decay in linear systems without energy dissipation.
This phenomenon is linked to condensation points in the system's natural frequency distribution.
Prior research established its presence in discrete oscillators and 1D continuous structures.

Purpose of the Study:

To investigate the development of pseudo-damping in two-dimensional structures.
To demonstrate pseudo-damping in preloaded plates on elastic foundations.
To analyze the role of curvature in shell elements for inducing pseudo-damping.

Main Methods:

Theoretical analysis based on mathematical properties of trigonometric series.
Examination of two-dimensional structures, specifically plates and shells.
Investigating the impact of preloading and elastic foundations on plates.
Analyzing the effect of curvature on the modal density of shell elements.

Main Results:

Pseudo-damping is demonstrated in preloaded plates on elastic foundations.
The curvature of shell elements naturally introduces condensation points, leading to pseudo-damping.
Confirms the theoretical framework for pseudo-damping in more complex 2D systems.

Conclusions:

Pseudo-damping can be induced in 2D structures like plates and shells.
Structural geometry (preloading, curvature) plays a key role in generating condensation points and pseudo-damping.
Expands the understanding and application of pseudo-damping beyond 1D systems.