Analytic and experimental determination impulse response of single degree of freedom system
Конференцијски прилог (Објављена верзија)
Метаподаци
Приказ свих података о документуАпстракт
The paper presents an experimental and analytical way of determining the impulse response of
a linear time-invariant damped system with one degree of freedom.
An experiment was conducted where the mass was excited by an impact load. Both the mass
acceleration and impact force values were recorded. The magnitude of the system's frequency
response was determined based on the recorded values, ensuring the relatively simple
identification of the system's basic parameters. Those parameters were used to define a suitable
mathematical model of the system, transfer function, and frequency response function in an
analytical form.
The impulse response of the system based on the recorded values of mass acceleration and impact
load is expressed as a discrete function. This function is determined by applying the inverse
discrete Fourier transform of the corresponding frequency response function.
The impulse response of the system, based on the mathematical model, is expressed as a
conti...nuous function. This function is determined by applying the inverse Fourier transform of
the corresponding frequency response.
Finally, it was shown that the response of a system to arbitrary load could be determined by
convolving the impulse response of the system with the load function. Convolution of continuous
functions is difficult to perform, and it can be used only for the simplest problem and for
understanding the physical phenomenon. Discrete convolution has a practical utility because it
is easy to perform in some program languages like Matlab. However, discrete impulse response
has limitations depending on the test conditions.
Кључне речи:
Transfer function / acceleration / single degrees of freedom system / system responseИзвор:
The ninth international conference civil engineering science & practice, GNP 2024 proceedings, Kolašin, 5-9 March, 2024, 2024, 281-288Издавач:
- University of Montenegro Faculty of Civil Engineering
Финансирање / пројекти:
- Министарство науке, технолошког развоја и иновација Републике Србије, институционално финансирање - 200092 (Универзитет у Београду, Грађевински факултет) (RS-MESTD-inst-2020-200092)
Институција/група
GraFarTY - CONF AU - Savatović, Siniša AU - Mišković, Zoran AU - Salatić, Ratko AU - Latinović-Krndija, Marina PY - 2024 UR - https://grafar.grf.bg.ac.rs/handle/123456789/3466 AB - The paper presents an experimental and analytical way of determining the impulse response of a linear time-invariant damped system with one degree of freedom. An experiment was conducted where the mass was excited by an impact load. Both the mass acceleration and impact force values were recorded. The magnitude of the system's frequency response was determined based on the recorded values, ensuring the relatively simple identification of the system's basic parameters. Those parameters were used to define a suitable mathematical model of the system, transfer function, and frequency response function in an analytical form. The impulse response of the system based on the recorded values of mass acceleration and impact load is expressed as a discrete function. This function is determined by applying the inverse discrete Fourier transform of the corresponding frequency response function. The impulse response of the system, based on the mathematical model, is expressed as a continuous function. This function is determined by applying the inverse Fourier transform of the corresponding frequency response. Finally, it was shown that the response of a system to arbitrary load could be determined by convolving the impulse response of the system with the load function. Convolution of continuous functions is difficult to perform, and it can be used only for the simplest problem and for understanding the physical phenomenon. Discrete convolution has a practical utility because it is easy to perform in some program languages like Matlab. However, discrete impulse response has limitations depending on the test conditions. PB - University of Montenegro Faculty of Civil Engineering C3 - The ninth international conference civil engineering science & practice, GNP 2024 proceedings, Kolašin, 5-9 March, 2024 T1 - Analytic and experimental determination impulse response of single degree of freedom system EP - 288 SP - 281 UR - https://hdl.handle.net/21.15107/rcub_grafar_3466 ER -
@conference{ author = "Savatović, Siniša and Mišković, Zoran and Salatić, Ratko and Latinović-Krndija, Marina", year = "2024", abstract = "The paper presents an experimental and analytical way of determining the impulse response of a linear time-invariant damped system with one degree of freedom. An experiment was conducted where the mass was excited by an impact load. Both the mass acceleration and impact force values were recorded. The magnitude of the system's frequency response was determined based on the recorded values, ensuring the relatively simple identification of the system's basic parameters. Those parameters were used to define a suitable mathematical model of the system, transfer function, and frequency response function in an analytical form. The impulse response of the system based on the recorded values of mass acceleration and impact load is expressed as a discrete function. This function is determined by applying the inverse discrete Fourier transform of the corresponding frequency response function. The impulse response of the system, based on the mathematical model, is expressed as a continuous function. This function is determined by applying the inverse Fourier transform of the corresponding frequency response. Finally, it was shown that the response of a system to arbitrary load could be determined by convolving the impulse response of the system with the load function. Convolution of continuous functions is difficult to perform, and it can be used only for the simplest problem and for understanding the physical phenomenon. Discrete convolution has a practical utility because it is easy to perform in some program languages like Matlab. However, discrete impulse response has limitations depending on the test conditions.", publisher = "University of Montenegro Faculty of Civil Engineering", journal = "The ninth international conference civil engineering science & practice, GNP 2024 proceedings, Kolašin, 5-9 March, 2024", title = "Analytic and experimental determination impulse response of single degree of freedom system", pages = "288-281", url = "https://hdl.handle.net/21.15107/rcub_grafar_3466" }
Savatović, S., Mišković, Z., Salatić, R.,& Latinović-Krndija, M.. (2024). Analytic and experimental determination impulse response of single degree of freedom system. in The ninth international conference civil engineering science & practice, GNP 2024 proceedings, Kolašin, 5-9 March, 2024 University of Montenegro Faculty of Civil Engineering., 281-288. https://hdl.handle.net/21.15107/rcub_grafar_3466
Savatović S, Mišković Z, Salatić R, Latinović-Krndija M. Analytic and experimental determination impulse response of single degree of freedom system. in The ninth international conference civil engineering science & practice, GNP 2024 proceedings, Kolašin, 5-9 March, 2024. 2024;:281-288. https://hdl.handle.net/21.15107/rcub_grafar_3466 .
Savatović, Siniša, Mišković, Zoran, Salatić, Ratko, Latinović-Krndija, Marina, "Analytic and experimental determination impulse response of single degree of freedom system" in The ninth international conference civil engineering science & practice, GNP 2024 proceedings, Kolašin, 5-9 March, 2024 (2024):281-288, https://hdl.handle.net/21.15107/rcub_grafar_3466 .