Sound wave propagation problems new perturbation methodology
The aim of the paper is to present applications of the new algebraic system theory in acoustic problems. Elements of new types of perturbed ordinary and partial differential equations are discussed. The formulation is applied to the analysis of perturbed wave problems with perturbations in parame...
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| Format: | Article |
| Language: | English |
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Institute of Fundamental Technological Research Polish Academy of Sciences
2014-01-01
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| Series: | Archives of Acoustics |
| Subjects: | |
| Online Access: | https://acoustics.ippt.pan.pl/index.php/aa/article/view/1331 |
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| _version_ | 1839628474190397440 |
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| author | Jerzy Skrzypczyk A. Winkler-Skalna |
| author_facet | Jerzy Skrzypczyk A. Winkler-Skalna |
| author_sort | Jerzy Skrzypczyk |
| collection | DOAJ |
| description | The aim of the paper is to present applications of the new algebraic system theory in acoustic
problems. Elements of new types of perturbed ordinary and partial differential equations
are discussed. The formulation is applied to the analysis of perturbed wave problems with
perturbations in parameters as well as in initial and boundary conditions. Classical perturbation
acoustic problems described by differential equations can be solved in the modified
algebraic system as easy as usual. Any additional analytical transformations are not required.
A novel 2D ray-tracing model of detailed representation of the indoor/outdoor environment
is presented. Perturbation ray tracing method is a technique based on geometrical optics with
perturbation in parameters which can be an easily applied approximate method for estimating
perturbation problems in acoustics. The developed algorithms use the new perturbation
methodology where the perturbed images are used to produce 2D-field of illumination zones.
It can be easy considered how perturbations (small) of nominal parameter values can change
solutions of the considered problems. |
| format | Article |
| id | doaj-art-f5d9b32a478b4ac28d7a62c6b84a75f7 |
| institution | Matheson Library |
| issn | 0137-5075 2300-262X |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Institute of Fundamental Technological Research Polish Academy of Sciences |
| record_format | Article |
| series | Archives of Acoustics |
| spelling | doaj-art-f5d9b32a478b4ac28d7a62c6b84a75f72025-07-15T16:50:41ZengInstitute of Fundamental Technological Research Polish Academy of SciencesArchives of Acoustics0137-50752300-262X2014-01-01314(S)Sound wave propagation problems new perturbation methodologyJerzy Skrzypczyk0A. Winkler-Skalna1Silesian University of Technology, Faculty of Civil Engineering, Akademicka 5, 44-100 GliwiceSilesian University of Technology, Faculty of Civil Engineering, Akademicka 5, 44-100 GliwiceThe aim of the paper is to present applications of the new algebraic system theory in acoustic problems. Elements of new types of perturbed ordinary and partial differential equations are discussed. The formulation is applied to the analysis of perturbed wave problems with perturbations in parameters as well as in initial and boundary conditions. Classical perturbation acoustic problems described by differential equations can be solved in the modified algebraic system as easy as usual. Any additional analytical transformations are not required. A novel 2D ray-tracing model of detailed representation of the indoor/outdoor environment is presented. Perturbation ray tracing method is a technique based on geometrical optics with perturbation in parameters which can be an easily applied approximate method for estimating perturbation problems in acoustics. The developed algorithms use the new perturbation methodology where the perturbed images are used to produce 2D-field of illumination zones. It can be easy considered how perturbations (small) of nominal parameter values can change solutions of the considered problems.https://acoustics.ippt.pan.pl/index.php/aa/article/view/1331perturbation numbersperturbed DEray tracing. |
| spellingShingle | Jerzy Skrzypczyk A. Winkler-Skalna Sound wave propagation problems new perturbation methodology Archives of Acoustics perturbation numbers perturbed DE ray tracing. |
| title | Sound wave propagation problems new perturbation methodology |
| title_full | Sound wave propagation problems new perturbation methodology |
| title_fullStr | Sound wave propagation problems new perturbation methodology |
| title_full_unstemmed | Sound wave propagation problems new perturbation methodology |
| title_short | Sound wave propagation problems new perturbation methodology |
| title_sort | sound wave propagation problems new perturbation methodology |
| topic | perturbation numbers perturbed DE ray tracing. |
| url | https://acoustics.ippt.pan.pl/index.php/aa/article/view/1331 |
| work_keys_str_mv | AT jerzyskrzypczyk soundwavepropagationproblemsnewperturbationmethodology AT awinklerskalna soundwavepropagationproblemsnewperturbationmethodology |