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Parallel Resonance

Parallel Resonance

The parallel RLC circuit is an arrangement where the resistor (R), inductor (L), and capacitor (C) are all connected to the same nodes and, as a result, share the same voltage across them. The parallel RLC circuit is analyzed in terms of admittance (Y), which reflects the ease with which current can flow. The admittance is given by:

Series Resonance

Series Resonance

The RLC circuit impedance is defined as the ratio of the supply voltage to the circuit current. Resonance in such a circuit occurs when the imaginary part of this impedance equals zero. This specific condition means that the inductive reactance is exactly equal to the capacitive reactance. The frequency at which this happens is known as the resonant frequency. Mathematically, the resonant frequency is inversely proportional to the square root of the product of the inductance (L) and capacitance...

Characteristics of Series Resonant Circuit

Characteristics of Series Resonant Circuit

Series resonance occurs in a circuit containing inductive (L), capacitive (C), and resistive (R) elements connected sequentially. At the resonance frequency, the inductive and capacitive reactances are equal in magnitude but opposite in sign, effectively canceling each other. This causes the circuit's impedance is minimal, primarily determined by the resistance R. The resonant frequency of an RLC circuit is defined as:

Eccentric Axial Loading in a Plane of Symmetry

Eccentric Axial Loading in a Plane of Symmetry

Eccentric axial loading occurs when an axial load is applied away from the centroidal axis of a structural member. This scenario is common in engineering, where structural elements may not be directly aligned due to various design or functional requirements.

Sound Waves: Resonance

Sound Waves: Resonance

Resonance is produced depending on the boundary conditions imposed on a wave. Resonance can be produced in a string under tension with symmetrical boundary conditions (i.e., has a node at each end). A node is defined as a fixed point where the string does not move. The symmetrical boundary conditions result in some frequencies resonating and producing standing waves, while other frequencies interfere destructively. Sound waves can resonate in a hollow tube, and the frequencies of the sound...

Relation between Poisson's ratio, Modulus of Elasticity and Modulus of Rigidity

Relation between Poisson's ratio, Modulus of Elasticity and Modulus of Rigidity

Deformation occurs in axial and transverse directions when an axial load is applied to a slender bar. This deformation impacts the cubic element within the bar, transforming it into either a rectangular parallelepiped or a rhombus, contingent on its orientation. This transformation process induces shearing strain. Axial loading elicits both shearing and normal strains. Applying an axial load instigates equal normal and shearing stresses on elements oriented at a 45° angle to the load axis.

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Fabrication and Characterization of Superconducting Resonators

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Resonant Frequency Response to Mechanical Loading in Conformal Load-Bearing Antenna Systems.

Shouxun Lu¹, Kelvin J Nicholson², Joel Patniotis²

¹Department of Mechanical & Aerospace Engineering, Monash University, Clayton, VIC 3800, Australia.

Sensors (Basel, Switzerland)

|March 17, 2025

Summary

Mechanical loading impacts conformal load-bearing antenna structures (CLASs). Damage increases substrate permittivity, decreasing resonant frequency, especially under tensile stress. This affects CLAS reliability and service life prediction.

Keywords:

conformal load-bearing antenna system (CLAS)fatigue response glass fibre-reinforced polymer (GFRP)mechanical testing relative permittivity resonance frequency

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Area of Science:

Electromagnetics
Materials Science
Structural Mechanics

Background:

Conformal load-bearing antenna structures (CLASs) integrate antennas into structural components.
Understanding the impact of mechanical stress on antenna performance is crucial for reliability.

Purpose of the Study:

To investigate how mechanical loading affects the electromagnetic resonant frequency of CLASs.
To differentiate the effects of quasi-static tensile loading and cyclic fatigue on CLAS performance.

Main Methods:

Utilized 6-ply [0/90] glass fiber reinforced polymer (GFRP) as the CLAS substrate.
Conducted quasi-static uniaxial tensile tests and cyclic fatigue tests.
Employed removeable antenna patch (RAP) and surface-mounted antenna patch (SMAP) configurations.

Main Results:

Quasi-static tensile loading increased substrate permittivity due to damage, decreasing resonant frequency.
Cyclic fatigue showed a consistent damage-frequency correlation in RAP configuration.
SMAP configuration exhibited complex frequency shifts due to combined damage and elongation effects.
Ply configuration influenced resonant frequency under significant quasi-static elongation.

Conclusions:

Substrate permittivity changes driven by mechanical loading are key to resonant frequency shifts in CLASs.
Findings are critical for predicting the reliability and service life of load-bearing antenna systems.