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Matrix Methods in Elasto Mechanics

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The article was published on 1963-01-01 and is currently open access. It has received 175 citations till now. The article focuses on the topics: Matrix method.

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Optimization of a Piezoelectric Bending Actuator for a Tactile Virtual Reality Display

TL;DR: In this paper, a transfer matrix method based on the Timoshenko beam theory is derived to estimate the dynamic behavior of the bending actuators in order to transfer high dynamic shear forces to the skin at required frequencies.
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Dynamic Characterization of the Joints in a Beam Structure by Using Spectral Element Method

TL;DR: In this paper, a frequency-domain approach is introduced to identify the dynamic characteristics of the mechanical joints within a one-dimensional structure, and the spectral analysis is conducted to predict the dynamic responses of the beam structure by using the spectral bolt-joint element that is determined from the identified Bolt-Joint parameters.

Crack Detection in a Rotor Dynamic System by Vibration Monitoring—Part II: Extended Analysis and Experimental Results increase in the power-to-weight ratio demand on rotordynamic systems causes

TL;DR: In this article, the 2X harmonic response component of the rotor tilt is used as a signature indicating a transverse shaft crack, and two transfer matrix models are proposed to predict the 2x harmonic response, one applies local crack flexibility coefficients determined using the strain energy release rate, while the second incorporates the crack as a rectangular notch to emulate a manufactured crack used in the experiments.
Journal ArticleDOI

Vibration analysis of a beam with partially distributed internal viscous damping

TL;DR: In this article, the authors established the governing equations of vibration for a beam with distributed internal viscous damping by using Timoshenko beam theory and Hamilton's principle, and applied the transfer matrix method to obtain the frequency equations for the beam.
Journal ArticleDOI

Quantitative structural damage detection using high‐frequency piezoelectric signatures via the reverberation matrix method

TL;DR: In this paper, an analytical expression of impedance (or admittance) related to the response of the coupled model of PZT patch-bonding layer-host beam system is derived for SHM.
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