Dynamic Characteristics of a Small-Size Beam Mounted on an Accelerating Structure.

This study focuses on the nonlinear vibration of a small-size beam hosted in a high-speed moving structure. The equation of the beam's motion is derived using the coordinate transformation. The small-size effect is introduced by applying the modified coupled stress theory.

Characterization of a Dual Nonlinear Helmholtz Resonator.

Resonant elements can generate small amounts of energy that make them pertinent for feeding miniaturized accelerometers with the energy needed. Suitable oscillator candidates are Helmholtz resonators, which have been, for a long time, analyzed and designed within the context of linear vibration. This study focuses on extracting nonlinear characteristics of a dual Helmholtz resonator (HR), with a neck-cavity-neck-cavity configuration, mounted on an acoustic waveguide with harmonically oscillating pressure.

Modeling and analysis of nature-inspired branched micropillars for enhanced dynamic bio-sensing.

Research evidence abounds on the effectiveness of micropillar-based microelectromechanical systems for the detection of a wide variety of ultrasmall biological objects for clinical and non-clinical applications. However, the standard micropillar-based sensing platforms rely on a single-column micropillar with a spot at the tip for binding of objects. Although this long-standing form has shown immense potential, performance improvement is hindered by the fundamental limits enforced by physical laws.

Ultrasonic waveguide with square wave surface grating.

The effect of spatial harmonics of a square-wave surface grating on the multiband frequency response of ultrasonic SH waves in an elastic plate is investigated. Stopbands are found to occur under simultaneous occurrence of first-order and higher-order Bragg resonances together with co-directional and/or contra-directional mode coupling conditions. The odd harmonic nature of the structure causes stopbands to appear above the cutoff frequencies of the odd-numbered modes.

Ultrasonic wave transmission in periodically undulated plates.

This study focuses on quantifying the change in phase speed of waves transmitting through periodically undulated plates under pass band interaction. A perturbation technique is used to analyze the transmission of horizontally polarized guided waves in elastic plates with sinusoidal periodicity at their outerfaces. Phase speed of transmitting modes is presented as a function of various parameters, including outerface wavenumber, undulation amplitude, degree of undulations symmetry about the periodically undulated plate midplane, plate average thickness, and frequency of propagation.