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vol. 125
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issue 4A
A-159-A-163
EN
Solving a stochastic problem for systems subjected to random series of pulses is, in the present case, aimed at determining of an approximate distribution of amplitudes of random pulses forcing vibrations of an oscillator with damping. The applied model of investigations indicated the source of difficulties connected with interpretation of the obtained results. Another issue discussed in the paper is how a change of the damping coefficient b of the system may result in a decrease of the difference between the actual distribution of random pulses and that determined from the waveform.
Acta Physica Polonica A
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2013
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vol. 123
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issue 6
1034-1039
EN
Experimental determining of distributions of pulses forcing a linear system, where pulse amplitudes and occurrence instants are random values, is burdened with errors resulting from uncertainty of the measurement and the differences between the model and the physical phenomenon. The objective of this work is an attempt to minimize these errors through application of an approximation algorithm that allows to determine parameters of response of the system to a single pulse forcing. The conclusions issuing from the investigations indicate that the parameters of the vibrating system should be selected so that the impact of the local deformations that occur while the system is being forced on the parameters of the system response should be as small as possible.
Acta Physica Polonica A
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2015
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vol. 128
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issue 1A
A-67-A-71
EN
The paper presents another phase of the study aimed at determining distributions of random pulses forcing vibration of an oscillator with damping. At this stage, the impact of the pulses amplitudes on distributions determined in a finite time interval is discussed. Application of a mathematical model in simulations allows to determine the differences between the distributions generated in MATLAB environment and those determined by a function. The experiment was designed so that the qualitative analysis of the issue was possible.
EN
In our previous works we introduced and applied a mathematical model that allowed us to calculate the approximate distribution of the values of stochastic impulses η_{i} forcing vibrations of an oscillator with damping from the trajectory of its movement. The mathematical model describes correctly the functioning of a physical RLC system if the coefficient of damping is large and the intensity λ of impulses is small. It is so because the inflow of energy is small and behaviour of RLC is stable. In this paper we are going to present some experiments which characterize the behaviour of an oscillator RLC in relation to the intensity parameter λ, precisely to λ E(η). The parameter λ is a constant in the exponential distribution of random variables τ_{i}, where τ_{i} = t_{i} - t_{i - 1}, i = 1, 2, ... are intervals between successive impulses.
EN
In previous papers formulas have been derived describing distribution of a random variable whose values are positions of an oscillator at the moment t, which, in the interval [0, t], underwent the influence of stochastic impulses with a given distribution. In this paper we present reasoning leading to an opposite inference thanks to which, knowing the course of the oscillator, we can find the approximation of distribution of stochastic impulses acting on it. It turns out that in the case of an oscillator with damping the stochastic process ξ_{t} of its deviations at the moment t is a stationary and ergodic process for large t. Thanks to this, time average of almost every trajectory of the process, which is the n-th power of ξ_{t} is very close to the mean value of ξ_{t}^{n} in space for sufficiently large t. Thus, having a course of a real oscillator and theoretical formulae for the characteristic function ξ_{t} we are able to calculate the approximate distribution of stochastic impulses forcing the oscillator.
EN
The motion of an oscillator with damping excited by impulses has the form $ξ_t = \frac{1}{\sqrt{a^2 - b^2}} \sum_{0
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vol. 125
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issue 4A
A-38-A-44
EN
The paper deals with difficulties that are encountered by investors and decision-making authorities in the course of investment processes involving construction of wind power plants. Moreover, attention is focused on absence of standardized procedures that could be used to determine environmental impact of wind turbines, mainly in the scope of acoustic effects appearing in conditions typical for operation of such devices (strong wind), high elevation of related noise sources, and the nature of the sound emission (tonality and amplitude modulation). Lack of such procedures is a source of serious ambiguities developing in assessment of all investment stages - planning and forecasting, construction, and operation. An additional problem arises in the case of power plants located in the vicinity of Natura 2000 area, where construction projects are often obstructed on the grounds of unclear criteria concerning, among other things, the effect of acoustic phenomena on birds, bats, and other animals. It follows from the research presented in this paper that the consistent system of procedures and criteria should be worked out on the grounds of long-term monitoring studies.
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39%
EN
The quietness, defined as the near or complete absence of sound, in the context of the natural environment protection, may be considered a state in which no undesired of foreign sounds occur, and, by analogy to noise, analyzed in two aspects: that pertaining to measurements and the subjective one. The article discusses the lowest levels of sounds recorded at night in the soundscape of the Białowieża Forest. Due to low levels of the examined sounds and the technical problems that occurred while the sounds were being measured and registered, the acoustic examination of the measurement set-up in an anechoic chamber has also been presented. The research is aimed at defining precisely the concept of quietness prevailing in the nature in the subjective aspect by determining both the range of levels and the characteristics of preferred sounds.
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