Numerical analyses of acoustic vibrational resonance in a Helmholtz resonator

Journal article

Omoteso, K., Bagdasar, O., Roy-Layinde, T. O. and Diala, U. 2024. Numerical analyses of acoustic vibrational resonance in a Helmholtz resonator. Nonlinear Dynamics . pp. 1-21. https://doi.org/10.1007/s11071-024-10534-w
AuthorsOmoteso, K., Bagdasar, O., Roy-Layinde, T. O. and Diala, U.
Abstract

In this study, the numerical analyses of a system, which describes the motion of air particles in the cavity of a Helmholtz resonator (HR), excited by a sound wave, was conducted. The low-frequency (LF) signal in the acoustic field is amplitude-modulated by an additive high-frequency (HF) perturbation, which can enhance the detection of the low-frequency, through Vibrational Resonance (VR) phenomena. The focus was on the combined effect, of amplitude and frequency of the acoustic excitation, on the motion of particles and induction of resonance. It was demonstrated that the system exhibits several nonlinear behaviours, VR ceasing to exist for a particular motion of the particles, which is dictated by the excitation frequency in relation to the resonator’s geometry. Furthermore, the regimes in which the performance of the system can be optimized, was identified, which facilitated the design of broadband acoustic resonators, suitable for most applications.

KeywordsNonlinear system; Helmholtz resonator; Frequency domain
Year2024
Journal Nonlinear Dynamics
Journal citationpp. 1-21
PublisherSpringer
ISSN1573-269X
Digital Object Identifier (DOI)https://doi.org/10.1007/s11071-024-10534-w
Web address (URL)https://link.springer.com/article/10.1007/s11071-024-10534-w
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Online06 Nov 2024
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Deposited22 Nov 2024
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Uchenna, Diala, Okafor, K.C. and Zi-Qiang, Lang 2018. Geometric nonlinear damper design — A frequency based approach. IEEE. https://doi.org/10.1109/nigercon.2017.8281918
Traffic assignment: on the interplay between optimization and equilibrium problems
Bagdasar, Ovidiu, Popovici, Nicolae and Berry, Stuart 2020. Traffic assignment: on the interplay between optimization and equilibrium problems. Optimization. https://doi.org/10.1080/02331934.2019.1711082
A novel delay-dependent asymptotic stability conditions for differential and Riemann-Liouville fractional differential neutral systems with constant delays and nonlinear perturbation
Chartbupapan, Watcharin, Bagdasar, Ovidiu and Mukdasai, Kanit 2020. A novel delay-dependent asymptotic stability conditions for differential and Riemann-Liouville fractional differential neutral systems with constant delays and nonlinear perturbation. Mathematics. 8 (1), p. 82. https://doi.org/10.3390/math8010082
Threats to auditor independence: Evidence from Iran
Fashami, Ashkan Mirzay, Boolaky, Pran Krishansing and Omoteso, Kamil 2019. Threats to auditor independence: Evidence from Iran. Athens Journal of Business & Economics.
An Online Learning Approach to a Multi-player N-armed Functional Bandit
Sam O’Neill, Ovidiu Bagdasar and Antonio Liotta 2020. An Online Learning Approach to a Multi-player N-armed Functional Bandit. in: Numerical Computations: Theory and Algorithms Springer. pp. 438 - 445
On Cyclotomic Polynomial Coefficients
Andrica, D. and Bagdasar, O. 2020. On Cyclotomic Polynomial Coefficients. Malaysian Journal of Mathematical Sciences. 14 (3), pp. 289 - 402.
DETN: Delay-Efficient Tolerant Network for Internet of Planet
Byungseok Kang, Francis Malute, Ovidiu Bagdasar and Hyunseung Choo 2020. DETN: Delay-Efficient Tolerant Network for Internet of Planet. IEEE Sensors Journal. 21 (2). https://doi.org/10.1109/jsen.2020.3020585
Efficient resampling for fraud detection during anonymised credit card transactions with unbalanced datasets
Mrozek, Petr, Panneerselvam, J. and Bagdasar, Ovidiu 2020. Efficient resampling for fraud detection during anonymised credit card transactions with unbalanced datasets. IEEE. https://doi.org/10.1109/ucc48980.2020.00067
Analysis and optimal design of a vibration isolation system combined with electromagnetic energy harvester
Diala, Uchenna, Mofidian, SM Mahdi, Lang, Zi-Qiang and Bardaweel, Hamzeh 2019. Analysis and optimal design of a vibration isolation system combined with electromagnetic energy harvester. Journal of Intelligent Material Systems and Structures. 30 (16), pp. 2382-2395. https://doi.org/10.1177/1045389x19862377
Social Network Analysis of Sicilian Mafia Interconnections
Ficara, A., Cavallaro, L., De Meo, P., Fiumara, G., Catanese, S., Bagdasar, O. and Liotta, A. Hocine Cherifi, Sabrina Gaito, José Fernendo Mendes, Esteban Moro and Prof. Luis Mateus Rocha (ed.) 2020. Social Network Analysis of Sicilian Mafia Interconnections. Springer.
Remarks on a family of complex polynomials
Andrica, Dorin and Bagdasar, Ovidiu 2019. Remarks on a family of complex polynomials. Applicable Analysis and Discrete Mathematics. https://doi.org/10.2298/aadm180827022a
The adoption of IPSAS (accrual accounting) in Indonesian local government: a neo-institutional perspective
Boolaky, Pran, Mirosea, Nitri and Omoteso, Kamil 2019. The adoption of IPSAS (accrual accounting) in Indonesian local government: a neo-institutional perspective. International Journal of Public Administration. https://doi.org/10.1080/01900692.2019.1669047
GORTS: genetic algorithm based on one-by-one revision of two sides for dynamic travelling salesman problems
Xu, Xiaolong, Yuan, Hao, Matthew, Peter, Ray, Jeffrey, Bagdasar, Ovidiu and Trovati, Marcello 2019. GORTS: genetic algorithm based on one-by-one revision of two sides for dynamic travelling salesman problems. Soft Computing. https://doi.org/10.1007/s00500-019-04335-2
Differential market valuations of board busyness across alternative banking models
Elnahas, Marwa, Omoteso, Kamil, Salama, Aly and Trinh, Vu Quang 2019. Differential market valuations of board busyness across alternative banking models. Review of Quantitative Finance and Accounting. https://doi.org/10.1007/s11156-019-00841-4
Accountability of transnational corporations in the developing world: The case for an enforceable international mechanism.
Yusuf, Hakeem O. and Omoteso, Kamil 2017. Accountability of transnational corporations in the developing world: The case for an enforceable international mechanism. Critical perspectives on international business. https://doi.org/10.1108/cpoib-08-2014-0040
Combating environmental irresponsibility of transnational corporations in Africa: an empirical analysis.
Yusuf, Hakeem O. and Omoteso, Kamil 2015. Combating environmental irresponsibility of transnational corporations in Africa: an empirical analysis. Local Environment: The International Journal of Justice and Sustainability. https://doi.org/10.1080/13549839.2015.1119812
Stability and pinning synchronization analysis of fractional order delayed Cohen–Grossberg neural networks with discontinuous activations
Pratap, A., Raja, R., Cao, J., Lim, C.P. and Bagdasar, Ovidiu 2019. Stability and pinning synchronization analysis of fractional order delayed Cohen–Grossberg neural networks with discontinuous activations. Applied Mathematics and Computation. 359, pp. 241-260. https://doi.org/10.1016/j.amc.2019.04.062
CSR communication research: A theoretical-cum-methodological perspective from semiotics
Yekini, Kemi, Omoteso, Kamil and Adegbite, Emmanuel 2019. CSR communication research: A theoretical-cum-methodological perspective from semiotics. Business and Society.
A new formula for the coefficients of Gaussian polynomials
Andrica, D. and Bagdasar, O. 2019. A new formula for the coefficients of Gaussian polynomials. Analele Stiintifice ale Universitatii Ovidius Constanta, Seria Matematica. https://doi.org/10.2478/auom-2019-0031
Global projective lag synchronization of fractional order memristor based BAM neural networks with mixed time varying delays
Pratap, A., Raja, R., Sowmiya, C., Bagdasar, O., Cao, J. and Rajchakit, G. 2019. Global projective lag synchronization of fractional order memristor based BAM neural networks with mixed time varying delays. Asian Journal of Control. https://doi.org/10.1002/asjc.2075
Disassembly and deconstruction analytics system (D-DAS) for construction in a circular economy
Akanbi, Lukman A., Oyedele, Lukumon O., Omoteso, Kamil, Bilal, Muhammad, Akinade, Olugbenga O., Ajayi, Anuoluwapo O., Davila Delgado, Juan Manuel and Owolabi, Hakeem A. 2019. Disassembly and deconstruction analytics system (D-DAS) for construction in a circular economy. Journal of Cleaner Production. 223, pp. 386-396. https://doi.org/10.1016/j.jclepro.2019.03.172
Mittag-Leffler state estimator design and synchronization analysis for fractional order BAM neural networks with time delays
Pratap, A., Dianavinnarasi, J., Raja, R., Rajchakit, G., Cao, J. and Bagdasar, Ovidiu 2019. Mittag-Leffler state estimator design and synchronization analysis for fractional order BAM neural networks with time delays. International Journal of Adaptive Control and Signal Processing. https://doi.org/10.1002/acs.2983
Does Regulatory Environment affect Earnings Management in Transitional Economies? An Empirical Examination of the Financial Reporting Quality of Cross-Listed Firms of China and Hong Kong
Nnadi, Matthias, Omoteso, Kamil and Yu, Yi 2015. Does Regulatory Environment affect Earnings Management in Transitional Economies? An Empirical Examination of the Financial Reporting Quality of Cross-Listed Firms of China and Hong Kong. in: Emerald Group Publishing Limited.
Combating environmental irresponsibility of transnational corporations in Africa: an empirical analysis.
Yusuf, Hakeem O. and Omoteso, Kamil 2015. Combating environmental irresponsibility of transnational corporations in Africa: an empirical analysis. Local Environment.. https://doi.org/10.1080/13549839.2015.1119812
International standards on auditing in the international financial services centres: What matters?
Boolaky, Pran and Omoteso, Kamil 2016. International standards on auditing in the international financial services centres: What matters? Managerial Auditing Journal. https://doi.org/10.1108/MAJ-09-2015-1243
Reinforcing users’ confidence in statutory audit during a post-crisis period: An empirical study.
Aziz, U.A. and Omoteso, Kamil 2014. Reinforcing users’ confidence in statutory audit during a post-crisis period: An empirical study. Journal of Applied Accounting Research. https://doi.org/10.1108/JAAR-11-2013-0108
Message from the workshop chairs
Yu, W., Liu, L., Fang, X. and Bagdasar, O. 2019. Message from the workshop chairs. 2019 IEEE SmartWorld. IEEE. https://doi.org/10.1109/smartworld-uic-atc-scalcom-iop-sci.2019.00036
Assessing Domain Specificity in the Measurement of Mathematics Calculation Anxiety
Hunt, Thomas E., Bagdasar, Ovidiu, Sheffield, David and Schofield, M. 2019. Assessing Domain Specificity in the Measurement of Mathematics Calculation Anxiety. Education Research International. 2019, pp. 1-7. https://doi.org/10.1155/2019/7412193
On some results concerning the polygonal polynomials
Andrica, D. and Bagdasar, O. 2019. On some results concerning the polygonal polynomials. Carpathian Journal of Mathematics. Vol 35 (Issue 1), pp. 1-12. https://doi.org/10.37193/cjm.2019.01.01
On an arithmetic triangle of numbers arising from inverses of analytic functions.
Bagdasaryan, Armen G. and Bagdasar, Ovidiu 2018. On an arithmetic triangle of numbers arising from inverses of analytic functions. Electronic Notes in Discrete Mathematics. https://doi.org/10.1016/j.endm.2018.11.003
On some new arithmetic functions involving prime divisors and perfect powers.
Bagdasar, Ovidiu and Tatt, Ralph-Joseph 2018. On some new arithmetic functions involving prime divisors and perfect powers. Electronic Notes in Discrete Mathematics. https://doi.org/10.1016/j.endm.2018.11.002
Some remarks on 3-partitions of multisets.
Andrica, Dorin and Bagdasar, Ovidiu 2018. Some remarks on 3-partitions of multisets. Electronic Notes in Discrete Mathematics. https://doi.org/10.1016/j.endm.2018.11.001
BIM-based deconstruction tool: Towards essential functionalities
Akinade, Olugbenga O., Oyedele, Lukumon O., Omoteso, Kamil, Ajayi, Saheed O., Bilal, Muhammad, Owolabi, Hakeem A., Alaka, Hafiz A., Ayris, Lara and Henry Looney, John 2017. BIM-based deconstruction tool: Towards essential functionalities. International Journal of Sustainable Built Environment. https://doi.org/10.1016/j.ijsbe.2017.01.002
Accountability of transnational corporations in the developing world: The case for an enforceable international mechanism.
Omoteso, Kamil and Yusuf, Hakeem O. 2017. Accountability of transnational corporations in the developing world: The case for an enforceable international mechanism. Critical perspectives on international business. https://doi.org/10.1108/cpoib-08-2014-0040
International standards on auditing in the international financial services centres
Boolaky, Pran and Omoteso, Kamil 2016. International standards on auditing in the international financial services centres. Managerial Auditing Journal. https://doi.org/10.1108/MAJ-09-2015-1243
Traffic assignment: methods and simulations for an alternative formulation of the fixed demand problem
Bagdasar, Ovidiu, Berry, Stuart, O’Neill, Sam, Popovici, Nicolae and Raja, Ramachandran 2018. Traffic assignment: methods and simulations for an alternative formulation of the fixed demand problem. Mathematics and Computers in Simulation. https://doi.org/10.1016/j.matcom.2018.08.004
On some results concerning generalized arithmetic triangles.
Bagdasaryan, Armen G. and Bagdasar, Ovidiu 2018. On some results concerning generalized arithmetic triangles. Electronic Notes in Discrete Mathematics. https://doi.org/10.1016/j.endm.2018.05.012
On the ratios and geometric boundaries of complex Horadam sequences.
Bagdasar, Ovidiu, Hedderwick, Eve and Popa, Ioan-Lucian 2018. On the ratios and geometric boundaries of complex Horadam sequences. Electronic Notes in Discrete Mathematics. https://doi.org/10.1016/j.endm.2018.05.011
ENDM Proceedings for TREPAM'17: Preface
Bagdasar, Ovidiu and Popa, Ioan-Lucian 2018. ENDM Proceedings for TREPAM'17: Preface. Electronic Notes in Discrete Mathematics. https://doi.org/10.1016/j.endm.2018.05.001
The development of accounting practices and the adoption of IFRS in selected MENA countries.
Booloaky, Pran Kirshansing, Omoteso, Kamil, Ibrahim, Masud Usman and Adelopo, Ismail A. 2018. The development of accounting practices and the adoption of IFRS in selected MENA countries. Journal of Accounting in Emerging Economies. https://doi.org/10.1108/JAEE-07-2015-0052
Robust generalized Mittag-Leffler synchronization of fractional order neural networks with discontinuous activation and impulses.
Pratap, A., Raja, R., Sowmiya, C., Bagdasar, Ovidiu, Cao, Jinde and Rajchakit, Grienggrai 2018. Robust generalized Mittag-Leffler synchronization of fractional order neural networks with discontinuous activation and impulses. Neural Networks. https://doi.org/10.1016/j.neunet.2018.03.012
Unifying local-global type properties in vector optimization.
Bagdasar, Ovidiu and Popovici, Nicolae 2018. Unifying local-global type properties in vector optimization. Journal of Global Optimization. https://doi.org/10.1007/s10898-018-0656-8
Case studies: Using heuristics.
Lowndes, Val, Bagdasar, Ovidiu and Berry, Stuart 2017. Case studies: Using heuristics. in: Springer.
Further use of heuristic methods.
Lowndes, Val, Berry, Stuart, Parkes, Chris, Bagdasar, Ovidiu and Popovici, Nicolae 2017. Further use of heuristic methods. in: Springer.
On the geometry of certain periodic non-homogeneous Horadam sequences.
Bagdasar, Ovidiu and Popa, Ioan-Lucian 2016. On the geometry of certain periodic non-homogeneous Horadam sequences. Electronic Notes in Discrete Mathematics. https://doi.org/10.1016/j.endm.2016.11.002
New results and conjectures on 2-partitions of multisets.
Bagdasar, Ovidiu and Andrica, Dorin 2017. New results and conjectures on 2-partitions of multisets. Proceedings of the 7th International Conference on Modeling, Simulation, and Applied Optimization (ICMSAO). https://doi.org/10.1109/ICMSAO.2017.7934928
Qualitative case study methodology: Automatic design and correction of ceramic colors
Bagdasar, O., Birluţiu, A., Chen, M. and Popa, I.-L. 2017. Qualitative case study methodology: Automatic design and correction of ceramic colors. IEEE. https://doi.org/10.1109/icstcc.2017.8107118
New results and conjectures on 2-partitions of multisets
Bagdasar, O. and Andrica, D. 2017. New results and conjectures on 2-partitions of multisets. 7th International Conference on Modeling, Simulation, and Applied Optimization, ICMSAO 2017. IEEE Computer Society. https://doi.org/10.1109/icmsao.2017.7934928
ON THE MASKED PERIODICITY OF HORADAM SEQUENCES: A GENERATOR-BASED APPROACH
Bagdasar, Ovidiu D., Larcombe, Peter J. and Bagdasar, O. 2017. ON THE MASKED PERIODICITY OF HORADAM SEQUENCES: A GENERATOR-BASED APPROACH. Fibonacci Quarterly.
LOCAL MAXIMIZERS OF GENERALIZED CONVEX VECTOR-VALUED FUNCTIONS
Bagdasar, Ovidiu, Popovici, Nicolae and Bagdasar, O. 2017. LOCAL MAXIMIZERS OF GENERALIZED CONVEX VECTOR-VALUED FUNCTIONS. Journal of Nonlinear and Convex Analysis.
On the number of complex horadam sequences with a fixed period
Bagdasar, Ovidiu and Larcombe, Peter J. 2013. On the number of complex horadam sequences with a fixed period. Fibonacci Quarterly.
On the characterization of periodic complex Horadam sequences
Bagdasar, Ovidiu and Larcombe, Peter J. 2013. On the characterization of periodic complex Horadam sequences. Fibonacci Quarterly.
On a result of Bunder involving Horadam sequences: A proof and generalization
Larcombe, Peter J. and Bagdasar, Ovidiu 2013. On a result of Bunder involving Horadam sequences: A proof and generalization. Fibonacci Quarterly.
Influence discovery in semantic networks: An initial approach
Trovati, M. and Bagdasar, O. 2014. Influence discovery in semantic networks: An initial approach. IEEE. https://doi.org/10.1109/uksim.2014.48
Complementary iInequalities involving the Stolarsky Mean
Bagdasar, Ovidiu 2010. Complementary iInequalities involving the Stolarsky Mean. Journal of Inequalities and Applications. https://doi.org/10.1155/2010/492570
Concise computer mathematics: tutorials on theory and problems
Bagdasar, Ovidiu 2013. Concise computer mathematics: tutorials on theory and problems. Springer.
On the characterization of periodic generalized Horadam sequences
Bagdasar, Ovidiu and Larcombe, Peter J. 2014. On the characterization of periodic generalized Horadam sequences. Journal of Difference Equations and Applications. https://doi.org/10.1080/10236198.2014.891022
Local maximum points of explicitly quasiconvex functions
Bagdasar, Ovidiu and Popovici, Nicolae 2014. Local maximum points of explicitly quasiconvex functions. Optimization Letters. https://doi.org/10.1007/s11590-014-0781-3
A horadam-based pseudo-random number generator
Bagdasar, O.D., Chen, M. and Bagdasar, O. 2014. A horadam-based pseudo-random number generator. IEEE. https://doi.org/10.1109/uksim.2014.55
On the structure of periodic complex Horadam orbits
Bagdasar, Ovidiu D., Larcombe, Peter J., Anjum, Ashiq and Bagdasar, O. 2016. On the structure of periodic complex Horadam orbits. Carpathian Journal of Mathematics.
Characterizations of Generalized Exponential Trichotomies for Linear Discrete-time Systems
Popa, I.-L., Ceauşu, T., Bagdasar, O. and Agarwal, R.P. 2016. Characterizations of Generalized Exponential Trichotomies for Linear Discrete-time Systems. Analele Stiintifice ale Universitatii Ovidius Constanta, Seria Matematica. 27 (2), pp. 153-166. https://doi.org/10.2478/auom-2019-0025
On some functions involving the lcm and gcd of integer tuples
Bagdasar, Ovidiu 2014. On some functions involving the lcm and gcd of integer tuples. Scientific Publications of the State University of Novi Pazar Series A: Applied Mathematics, Informatics and mechanics. https://doi.org/10.5937/SPSUNP1402091B
ON A RESULT OF BUNDER INVOLVING HORADAM SEQUENCES: A NEW PROOF
Larcombe, Peter J., Bagdasar, O. and Fennessey, Eric J. 2014. ON A RESULT OF BUNDER INVOLVING HORADAM SEQUENCES: A NEW PROOF. Fibonacci Quarterly. pp. 175-177.