Radiation of roadway noise in windy conditions

Piddubniak, Оlexa; Piddubniak, Nadia; Teodorczyk, Tomasz; Abramczyk, Jakub

doi:10.1109/diped.2009.5307267

Cited by 6 publications

(5 citation statements)

References 6 publications

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“…Omitting intermediate transformations by relations (14), (15) and using (16), (17), and (20), we obtain…”

Section: Derivation Of the Analytic Relations For Acoustic Pressure Amentioning

confidence: 99%

“…Note that, in [15], we studied a similar problem of modeling of the automobile noise on a straight part of the highway under the assumption that the point sources move with a constant velocity. In the problem under consideration, the source moves with acceleration.…”

Section: Formulation Of the Problemmentioning

confidence: 99%

“…Note that relation (14) was obtained exactly and relation (15) was obtained approximately by the method of stationary phase [4] without taking into account the small contribution of Rayleigh-type surface waves.…”

Section: Derivation Of the Analytic Relations For Acoustic Pressure Amentioning

confidence: 99%

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Emission of Sound by an Aircraft During its Take-Off Run Along the Runway

Piddubnyak

2014

J Math Sci

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We consider the problem of emission of sound by an airplane in the stage of its take-off run along the runway of an airdrome under the conditions of wind action. The aircraft engines play the role of the sources of sound. In the problem, they are modeled by point sources moving in air with a constant acceleration parallel to the plane interface between the acoustic and solid elastic half spaces. The solution of the problem is obtained by using the Fourier integral transformation with respect to time and space coordinates and the method of stationary phase. We also perform the numerical analysis of the spacetime distributions of sound pressure and the levels of sound pressure for the case of take-off of a sixengine An-225 "Mriya" aircraft. Formulation of the ProblemAirdromes used for the take-of and landing of the aircrafts are the sites of concentration of strong noise and, hence, the sources of the propagation of acoustic waves to the neighboring areas. Therefore, at present, the problem of acoustic climate near airdromes attracts significant attention of the researchers [8,12,17], in particular, in the fields of measurements of the level of acoustic pressure [7], empirical methods of its evaluation [19,20], in the problems of optimization [5,11], reduction of the aircraft noise [13], and protection against this type of noise [18]. However, the mathematical modeling of acoustic wave processes capable of large-scale evaluation of this kind of hazard to the human health [10] is still poorly developed.In the present work, we make an attempt to construct a mathematical model of this kind. Due to the complexity of the problem, we restrict ourselves to the study of the process of the emission of acoustic energy by aircrafts only in the stage of take-off run.Consider the problem of emission of sound by a starting aircraft. The trajectory of motion of this object consists of four parts. The first of them represents the accelerated motion of the aircraft along the airdrome runway beginning from the initial point of its start. The second part is the accelerated motion in air at certain relatively low heights parallel to the runway. The third part can be described as the motion along a curvilinear path with passing to the fourth part, i.e., to the upward motion with a constant velocity at a certain angle to the runway.In the present work, we study the process of noise generation in the course of the take-off run, i.e., in the first part of the trajectory, because this stage has the largest duration and, as a rule, is realized near the inhabited areas.We replace the engines by point sources of sound with a certain intensity and angular frequency of harmonic vibrations Ω. First, we consider a single source of sound moving in the plane Oxz at a height z = z 0 over

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“…Omitting intermediate transformations by relations (14), (15) and using (16), (17), and (20), we obtain…”

Section: Derivation Of the Analytic Relations For Acoustic Pressure Amentioning

confidence: 99%

Section: Formulation Of the Problemmentioning

confidence: 99%

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Emission of Sound by an Aircraft During its Take-Off Run Along the Runway

Piddubnyak

2014

J Math Sci

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“…x , t ) was solved in a more general case for many moving point sound sources in a moving medium [11]. This problem consists of the solution of equations for pressure in acoustic waves radiated and reflected from an elastic half-space (z < 0) taking into consideration the boundary conditions on surface z = 0 :…”

Section: Formulation and Analysismentioning

confidence: 99%

Train sound radiation

Piddubniak

Klimas

2012

J Math Sci

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The problem of sound radiation from a train is considered. This object has been simulated as sets of point sources uniformly distributed in the domain of a moving lengthened rectangle. The solution of the problem is obtained using integral Fourier transforms over the space coordinates and time. The integrals are calculated by using the stationary phase method. Numerical analysis is carried out for acoustic pressure and sound intensity.

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“…In real situation many natural factors such as inhomogeneity, temperature and moisture (1) Modern roundabouts: An informational guide -http://www.tfhrc.gov/safety/00068.htm of air, or the roadbed state, have influence on this structure formation. Recently, velocity and direction of wind were taken into consideration in the mathematical modeling of noise generated from the elements of city roadway as a part of multilane road (Piddubniak et al, 2009b) and traffic cross-road (Piddubniak et al, 2009a).…”

Section: Introductionmentioning

confidence: 99%

Sound Radiation from a Roundabout

Piddubniak¹,

Piddubniak²

2010

Archives of Acoustics

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Sound propagation from the vehicles moving on the city roundabout, with taking into account the wind is investigated. Solution of the problem for one moving sound source is found by means of the integral Fourier transforms extended over space variables and time. Inverse transforms are calculated approximately, using a stationary phase method and iterative technique. The solution for a general problem is obtained as a superposition of many partial solutions. The numerical analysis of noise characteristics is performed for the three-way Korfanty roundabout case in Łódź.

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Radiation of roadway noise in windy conditions

Cited by 6 publications

References 6 publications

Emission of Sound by an Aircraft During its Take-Off Run Along the Runway

Emission of Sound by an Aircraft During its Take-Off Run Along the Runway

Train sound radiation

Sound Radiation from a Roundabout

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