Harmonic balance
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Overview of Harmonic and Resonance in Railway Electrification Systems Open
Harmonic distortion and harmonic resonance problems have been widely concerned and reported in railway electrification systems (RESs) due to the harmonic injection from the nonlinear electric train, especially high-speed/high-capacity/larg…
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Theoretical Design and Characteristics Analysis of a Quasi-Zero Stiffness Isolator Using a Disk Spring as Negative Stiffness Element Open
This paper presents a novel quasi-zero stiffness (QZS) isolator designed by combining a disk spring with a vertical linear spring. The static characteristics of the disk spring and the QZS isolator are investigated. The optimal combination…
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Multi-modal vibration energy harvesting approach based on nonlinear oscillator arrays under magnetic levitation Open
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Nonlinearity-Induced Synchronization Enhancement in Micromechanical Oscillators Open
An autonomous oscillator synchronizes to an external harmonic force only when the forcing frequency lies within a certain interval - known as the synchronization range - around the oscillator's natural frequency. Under ordinary conditions,…
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Modal analysis strategy and nonlinear dynamic characteristics of complicated aero-engine dual-rotor system with rub-impact Open
This paper aims to gain insight into the nonlinear modal characteristics and the possible influence of the modes on the responses for the practical dual-rotor system with rub-impact in aero-engine. The finite solid element method combined …
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Continuation techniques for analysis of whole aeroengine dynamics with imperfect bifurcations and isolated solutions Open
The analysis of whole engine rotordynamic models is an important element in the design of aerojet engines. The models include gyroscopic effects and allow for rubbing contact between rotor and stator components such as bladed discs and cas…
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Harmonic Balance Methods: A Review and Recent Developments Open
© 2023 Tech Science Press. All rights reserved. This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work…
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Adjoint-based fluid dynamic design optimization in quasi-periodic unsteady flow problems using a harmonic balance method Open
Shape optimization in unsteady flow problems enables the consideration of dynamic effects on design. The ability to treat unsteady effects is attractive, as it can provide performance gains when compared to steady-state design methods for …
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A Reduced Order Model for Nonlinear Dynamics of Mistuned Bladed Disks With Shroud Friction Contacts Open
A new reduced order modeling technique for nonlinear vibration analysis of mistuned bladed disks with shrouds is presented. The developed reduction technique employs two component mode synthesis methods, namely, the Craig-Bampton (CB) meth…
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Influence of Fiber Angle on Steady-State Response of Laminated Composite Rectangular Plates Open
Significant advances in the field of composite structures continue to be made on a variety of fronts, including theoretical studies based on advances in structural theory kinematics and computer models of structural elements employing adva…
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Analysis of the Nonlinear Response of Piezo-Micromirrors with the Harmonic Balance Method Open
In this work, we address the simulation and testing of MEMS micromirrors with hardening and softening behaviour excited with patches of piezoelectric materials. The forces exerted by the piezoelectric patches are modelled by means of the t…
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Parametric Study and Uncertainty Quantification of the Nonlinear Modal Properties of Frictional Dampers Open
A numerical methodology is described to study the influence of the contact location and contact condition of friction damper in aircraft engines. A simplified beam model is used to represent the blade for the preliminary design stage. The …
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Nonlinear Dynamics of the High-Speed Rotating Plate Open
High speed rotating blades are crucial components of modern large aircraft engines. The rotating blades under working condition frequently suffer from the aerodynamic, elastic and inertia loads, which may lead to large amplitude nonlinear …
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Modeling of Semiconductor Substrates for RF Applications: Part II—Parameter Impact on Harmonic Distortion Open
This article presents the accurate modeling results of the nonlinear behavior of a wide range of silicon-based substrates at RF. The TCAD-based model includes carrier inertia effects and captures the transient nonequilibrium phenomena in t…
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Application of Higher Order Hamiltonian Approach to the Nonlinear Vibration of Micro Electro Mechanical Systems Open
This paper implements the higher order Hamiltonian method to analyze an electrostatically actuated nonlinear micro beam-based micro electro mechanical oscillator. First, second and third approximate solutions are obtained, and the frequenc…
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Research Progress in Nonlinear Ultrasonic Testing for Early Damage in Metal Materials Open
There are some limitations when conventional ultrasonic testing methods are used for testing early damage in metal parts. With the continuous development of acoustics and materials science, nonlinear ultrasonic nondestructive testing techn…
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Check the Stability: Stability Analysis Methods for Microwave Circuits Open
The instability problems often faced by the designers of nonlinear microwave circuits are the cause of significant qualitative discrepancies between simulations and measurements, even when using powerful simulation tools based on harmonic-…
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Optimization study of a piezoelectric bistable generator with doubled voltage frequency using harmonic balance method Open
Bistable generator for vibration energy harvesting is one of the most promising solutions to reach practically enhanced performance. Due to the buckled–spring–mass–specific behavior, the deformation of the piezoelectric transducer is nonli…
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Research and Analysis of Quasi-Zero-Stiffness Isolator with Geometric Nonlinear Damping Open
This paper presents a novel quasi-zero-stiffness (QZS) isolator designed by combining a tension spring with a vertical linear spring. In order to improve the performance of low-frequency vibration isolation, geometric nonlinear damping is …
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High-order approximate solutions of strongly nonlinear cubic-quintic Duffing oscillator based on the harmonic balance method Open
An anodic stripping voltammetric (ASV) technique was used for determination of the
\ncadmium in infant milk powder by using the hanging mercury drop electrode (HMDE). Ten
\nsamples of infant milk powder which are suitable from zero to twel…
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A parametric study of an unbalanced Jeffcott rotor supported by a rolling-element bearing Open
Rolling-element bearings are widely used in industrial rotating machines, and hence there is a strong need to accurately predict their influence on the response of such systems. However, this can be challenging due to an interaction betwee…
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Nonlinear Vibrational Analysis of Nanobeams Embedded in an Elastic Medium including Surface Stress Effects Open
Due to size-dependent behavior of nanostructures, the classical continuum models are not applicable for the analyses at this submicron size. Surface stress effect is one of the most important matters which make the nanoscale structures hav…
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A flexible functional module to regulate ultraviolet optical nonlinearity for achieving a balance between a second-harmonic generation response and birefringence Open
The flexible (C 3 H 2 O 4 ) 2− groups were employed to design a new mixed alkali malonate KLi(C 3 H 2 O 4 )·H 2 O as an potential UV NLO crystal achieving the balance between strong SHG efficiency and moderate birefringence.
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The spreading residue harmonic balance method for studying the doubly clamped beam-type N/MEMS subjected to the van der Waals attraction Open
Since the doubly clamped beam-type N/MEMS subjected to the van der Waals attraction is transformed into a mathematical model through Galerkin method, which is a nonlinear differential equation, the spreading residue harmonic balance method…
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Vibration isolation using a bar and an Euler beam as negative stiffness for vehicle seat comfort Open
In this article, the behavior and the efficiency of a nonlinear passive vibration isolator based on a bar and an Euler beam are investigated analytically. The proposed isolator is specifically for isolating vehicle seat from unwanted distu…
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Development of a mathematical model of a frequency-controlled electromagnetic vibration motor taking into account the nonlinear dependences of the characteristics of the elements Open
The wider application of vibration machines (VM) with electromagnetic motors (EMVM) in various industries, including in vibration test benches for telecommunication devices and equipment has been studied in the paper. Difficulties associat…
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Stability approach for periodic delay Mathieu equation by the He- multiple-scales method Open
In the present work, the version of homotopy perturbation included time-scales is applied to the governing equation of time-periodic delay Mathieu equation. Periodical structure for the amplitude of the zero-order perturbation is construct…
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A Mixed Shooting – Harmonic Balance Method for Unilaterally Constrained Mechanical Systems Open
In this paper we present a mixed shooting – harmonic balance method for large linear mechanical systems on which local nonlinearities are imposed. The standard harmonic balance method (HBM), which approximates the periodic solution in freq…
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Basic Constraints for Design Optimization of Cubic and Bistable Nonlinear Energy Sink Open
This work mainly concentrates on the optimization of cubic and bistable nonlinear energy sink (NES) to find the maximum efficiency point under harmonic excitation. The conservative system is considered to reveal the inner property of the d…
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Uncovering detached resonance curves in single-degree-of-freedom systems Open
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