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Uncertainty Quantification and Bifurcation Analysis of an Airfoil with Multiple Nonlinearities

Haitao Liao
2013 Mathematical Problems in Engineering  
An algebraic system of equations obtained by the harmonic balance method and the stability condition derived from the Floquet theory are used to construct the general nonlinear equality and inequality  ...  optimization problem.  ...  For example, the classical flutter problems were studied by using the harmonic balance method and the incremental harmonic balance method (IHBM) [1] .  ... 
doi:10.1155/2013/570947 fatcat:j4dbvq2ldnhttpci46bp72skpq

Semi-numerical analysis of a two-stage series composite planetary transmission considering IHB and MsP methods

Xigui Wang, Yongmei Wang, Baixue Fu, Jiafu Ruan, Siyuan An
2021 Journal of Vibroengineering  
An improved incremental harmonic balance (IHB) method, based on the arc length extension technique, is proposed.  ...  Following that, the multi-scale perturbation (MsP) method is applied to the TsSCS proposed in this paper.  ...  Incremental harmonic balance and arc length extension method The harmonic balance method uses a description function to approximate the nonlinearity caused by the gap and is widely used in planetary transmission  ... 
doi:10.21595/jve.2021.21832 fatcat:c5cmx3n3g5abjd2tvcau2otvh4

Semi-numerical analysis of a two-stage series composite planetary transmission considering incremental harmonic balance and multi-scale perturbation methods

Xigui Wang, Siyuan An, Yongmei Wang, Jiafu Ruan, Baixue Fu
2021 Mechanical Sciences  
An improved incremental harmonic balance (IHB) method, which solves the closed solution of incremental parameters passing through the singularity point of the analytical path, based on the arc length extension  ...  Following that, the multi-scale perturbation (MsP) method is applied to the TsSCS proposed in this subject to analyze the parameter excitation and gap nonlinear equations and then to obtain the analytical  ...  Incremental harmonic balance and arc length extension method The harmonic balance method uses a description function to approximate the nonlinearity caused by the gap and is widely used in PGSs (Acri  ... 
doi:10.5194/ms-12-701-2021 fatcat:lxqvctyrind2rczglu3rw4c5r4

A high-static-low-dynamics stiffness vibration isolator via an elliptical ring

Wen-Ju Han, Ze-Qi Lu, Mu-Qing Niu, Li-Qun Chen
2022 Mechanical systems and signal processing  
The harmonic balance method is applied to determine approximately steady-state responses of the vibration isolator, and thus the displacement transmissibility of the isolator can be analytically predicted  ...  A B S T R A C T An elliptical ring is used to implement a novel type of high-static-low-dynamic vibration isolation.  ...  Harmonic balance analysis on displacment transmissibility The harmonic balance method, a widely-used approximate analytical approach, can be applied to strong nonlinear systems [17] .  ... 
doi:10.1016/j.ymssp.2021.108061 fatcat:5qk4sn3uefbnzo3ybekapvdtsq

Balancing rotating structures using slow-speed data via optimized parametric excitation and nonlinear feedback [article]

Amit Dolev, Shachar Tresser, Izhak Bucher
2018 arXiv   pre-print
By utilizing tuned dual frequency parametric excitation along with optimized nonlinear feedback terms, the slow imbalance forces are projected onto a chosen mode of vibration.  ...  By tuning the parametric excitation and the nonlinear terms in an optimal manner, a pseudo-linear behavior is formed.  ...  It is noticeable that while similar maximal amplitudes were produced, the sensitivity is about five times higher when the optimal method is used.  ... 
arXiv:1810.05979v1 fatcat:dvkk5pefd5cv5nevwpgztzitea

Harmonic-Balance-Based parameter estimation of nonlinear structures in the presence of Multi-Harmonic response and force

Javad Taghipour, Hamed Haddad Khodaparast, Michael I. Friswell, Alexander D. Shaw, Hassan Jalali, Nidhal Jamia
2022 Mechanical systems and signal processing  
The objective of this study is to introduce an identification method, motivated by the alternating frequency/time approach using harmonic balance (AFTHB), which is able to consider both multi-harmonic  ...  Often nonlinear structures are excited by harmonic forces and yield a multi-harmonic response.  ...  Two different harmonic balance approaches are used in this method: an Analytical Harmonic-Balance-based (AHB) approach and an Alternating Frequency/Time approach using Harmonic Balance (AFTHB).  ... 
doi:10.1016/j.ymssp.2021.108057 fatcat:hfrctfu3qnh27gueg62q44mio4

Analysis of Frequency Selective with Nonlinear Antenna under Radiations of Bi-Frequency Waves Based on Genetic Algorithm

Mona Teimoory
Finally, after different analysis, it has been determined that in order to analyze selective surfaces, like harmonic balance, which are only capable of single frequency radiation, more global genetic algorithm  ...  In this study, genetic algorithm is applied for analyzing frequency selective surfaces with nonlinear antenna, in order to obtain two poles of nonlinear loads.  ...  From the materials presented in this study, we can conclude that harmonic balance method as a frequency domain method has no restriction on load nonlinearity degree, but it has its own disadvantages: 1  ... 
doi:10.24297/ijct.v15i7.1549 fatcat:aj3g7stv4jeypi626kv3u7phky

Nonlinear updating method: a review

Philippe Bussetta, Sidney Bruce Shiki, Samuel da Silva
2017 Journal of the Brazilian Society of Mechanical Sciences and Engineering  
It is focused on the computation of the difference between the numerical model and the reference data as well as the algorithm uses to find the optimal parameters.  ...  In both parts of the nonlinear updating process, the popular approaches are presented. Special emphasis is given to methods based on Volterra series.  ...  Harmonic balance (HB) The harmonic balance (HB) method is the most widespread of the ones used in the frequency domain.  ... 
doi:10.1007/s40430-017-0905-7 fatcat:m6qywzphljd6ti2bfyk3ut6o7e

A fast continuation scheme for accurate tracing of nonlinear oscillator frequency response functions

Guoqiang Chen, J.F. Dunne
2016 Journal of Sound and Vibration  
A new algorithm is proposed to combine the split-frequency harmonic balance method (SF-HBM) with arc-length continuation (ALC) for accurate tracing of the frequency response of oscillators with non-expansible  ...  This step is achieved using the SF-HBM in conjunction with ALC. Stage II uses the SF-HBM to obtain a very accurate solution at the frequency obtained in Stage I.  ...  The split-frequency harmonic balance method (SF-HBM) [15] , and an associated stability analysis method [16] , were proposed to obtain Period-1 and sub-harmonic responses of nonlinear oscillators.  ... 
doi:10.1016/j.jsv.2016.08.033 fatcat:li4k2c2amrg2hm5ypdt533iv4y

Optimization study of a piezoelectric bistable generator with doubled voltage frequency using harmonic balance method

Weiqun Liu, Fabien Formosa, Adrien Badel
2016 Journal of Intelligent Materials Systems and Structures  
An analytical model is developed using harmonic balance analysis for the BSM generator architecture.  ...  Contrary to the usual method, a special doubled frequency voltage solution in the inter-well motion case is assumed in harmonic balance analysis to obtain an accurate predictive model,which is validated  ...  of the harmonic balance method as well.  ... 
doi:10.1177/1045389x16657203 fatcat:hlqnajrtl5cbbczpjvyhiextiq

Research Progress in Dynamics of Planetary Gear Transmission System

Jingyue Wang, Shibo Zhang, Haotian Wang
2019 International Journal of Engineering and Applied Sciences (IJEAS)  
dynamic characteristics of planetary gear system by harmonic balance method.  ...  [13] used harmonic balance method to solve the dynamic response of the system on the basis of pure torsion model.  ... 
doi:10.31873/ijeas.6.1.15 fatcat:nr2roctnxndwtom3zo4bws7mim

Preface to the special issue "NODYCON 2O19"

Angelo Luongo, Haiyan Hu, Ju H. Park, Steven W. Shaw
2019 Nonlinear dynamics  
Computational nonlinear dynamics a. Analytical methods b. Numerical methods 3. Bifurcation and control a. Bifurcation b. Control 4. New trends in nonlinear dynamics a. MEMS b.  ...  These papers reflect state-of-the-art results in the field of nonlinear dynamics.  ...  of three techniques for analyzing the forced response of nonlinear vibration systems: harmonic balance, multiple scales and normal forms.  ... 
doi:10.1007/s11071-019-05428-1 fatcat:xapuq72uinhqhca3q6kbkgfnri

Parameter design and experimental study of a bifunctional isolator for optical payload protection and stabilization

Dong-jing Cao, Lu Liang, Guang-yuan Wang, Xin Guan, Tang Shao-fan, Xiang Chen, Gang-tie Zheng, Naoto Kadowaki
2017 International Conference on Space Optics — ICSO 2010  
for calculating the dynamic response of piecewise linear system are proposed in references [8] ~ [10] , including harmonic balance method, equivalent linearization method, and perturbation method.  ...  However, there are limited research on the dynamic response of polynomial piecewise nonlinear system as shown in Fig. 1 . In the present study, it is solved by applying harmonic balance method.  ... 
doi:10.1117/12.2309098 fatcat:wp2g2jzs5ffmtinhclmzi4stqe

Improved migration genetic algorithm optimization for variable-speed falling trajectory of mobile crossbeam in composite hydraulic press with pressure shock

Heng Du, Zhiqiang Lin, Yuan Zhang, Hui Chen, Zhimin Xu
2019 IEEE Access  
This paper proposes a method of trajectory planning based on the spline interpolation function and optimizes the trajectory globally with an improved migration genetic algorithm; the optimized system ITAE  ...  The experimental results show that the optimized trajectory's vibration settling time is reduced by 62.91% and the maximum pressure fluctuation is reduced by 25.34% compared with the uniform speed trajectory  ...  The method of optimizing valve input command signal can be used to optimize the velocity and trajectory of the mobile crossbeam during falling process.  ... 
doi:10.1109/access.2019.2905849 fatcat:vda6lp62bzbtnebb7oiteuvdvy

Numerical simulation of the non-uniform flow in a full-annulus multi-stage axial compressor with the harmonic balance method

Haiou Sun, Meng Wang, Zhongyi Wang, Song Wang, Franco Magagnato
2020 Advances in Mechanical Engineering  
Since the internal flow in turbomachinery is naturally periodic, the harmonic balance method can be used to reduce the computational cost.  ...  To improve the understanding of unsteady flow in modern advanced axial compressor, unsteady simulations on full-annulus multi-stage axial compressor are carried out with the harmonic balance method.  ...  Then, Huang and Ekici 13, 14 applied the harmonic balance method on investigations of the unsteady flow in turbomachinery caused by self-excited vibrations and shape optimization of compressor cascades  ... 
doi:10.1177/1687814019897213 fatcat:3nar4t5ykrb6bixj5pnd7ecece
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