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Eine Plattform für die Wissenschaft: Bauingenieurwesen, Architektur und Urbanistik
Dynamics of Freestanding Rigid Blocks: Interpretation of Free Vibration Characteristics
https://orcid.org/http://orcid.org/0000-0001-9803-146X
https://orcid.org/http://orcid.org/0000-0002-2552-1377
https://orcid.org/http://orcid.org/0000-0002-1061-1783
Stability of slender structures observed during a few past earthquakes is surprising. This motivates to explore the dynamics of free-standing rigid blocks, which is highly nonlinear. Based on the free-vibration characteristics, this paper aims to gain insights into the dynamics of such systems. With simplifying assumptions, the free vibration characteristics of linearized rocking oscillators were analytically studied by Housner in 1963 and reported the sensitivity of the frequency of vibration to initial conditions and nature of impact. Removing such approximations, the present work systematically studies a set of rocking objects characterized by size, slenderness for a set of initial conditions. To this end, the time-domain description of the free-vibration history for a chosen initial condition is derived by solving the actual equation of motion and the history is then decomposed per Continuous Wavelet Transform (CWT). This helps describe the variation of frequency with initial conditions, and impact. The results are compared to those by Housner. Based on the results of free-vibration characteristics, rocking and overturning phenomena—two aspects of primary interest of a freestanding system—are explained. The study recognizes the domain of overturning in terms of free-vibration characteristics and liberates the overturning phenomenon from the specific characteristics of the excitation at least for one-sine pulse.
Dynamics of Freestanding Rigid Blocks: Interpretation of Free Vibration Characteristics
https://orcid.org/http://orcid.org/0000-0001-9803-146X
https://orcid.org/http://orcid.org/0000-0002-2552-1377
https://orcid.org/http://orcid.org/0000-0002-1061-1783
Stability of slender structures observed during a few past earthquakes is surprising. This motivates to explore the dynamics of free-standing rigid blocks, which is highly nonlinear. Based on the free-vibration characteristics, this paper aims to gain insights into the dynamics of such systems. With simplifying assumptions, the free vibration characteristics of linearized rocking oscillators were analytically studied by Housner in 1963 and reported the sensitivity of the frequency of vibration to initial conditions and nature of impact. Removing such approximations, the present work systematically studies a set of rocking objects characterized by size, slenderness for a set of initial conditions. To this end, the time-domain description of the free-vibration history for a chosen initial condition is derived by solving the actual equation of motion and the history is then decomposed per Continuous Wavelet Transform (CWT). This helps describe the variation of frequency with initial conditions, and impact. The results are compared to those by Housner. Based on the results of free-vibration characteristics, rocking and overturning phenomena—two aspects of primary interest of a freestanding system—are explained. The study recognizes the domain of overturning in terms of free-vibration characteristics and liberates the overturning phenomenon from the specific characteristics of the excitation at least for one-sine pulse.
Dynamics of Freestanding Rigid Blocks: Interpretation of Free Vibration Characteristics
https://orcid.org/http://orcid.org/0000-0001-9803-146X
https://orcid.org/http://orcid.org/0000-0002-2552-1377
https://orcid.org/http://orcid.org/0000-0002-1061-1783
Stability of slender structures observed during a few past earthquakes is surprising. This motivates to explore the dynamics of free-standing rigid blocks, which is highly nonlinear. Based on the free-vibration characteristics, this paper aims to gain insights into the dynamics of such systems. With simplifying assumptions, the free vibration characteristics of linearized rocking oscillators were analytically studied by Housner in 1963 and reported the sensitivity of the frequency of vibration to initial conditions and nature of impact. Removing such approximations, the present work systematically studies a set of rocking objects characterized by size, slenderness for a set of initial conditions. To this end, the time-domain description of the free-vibration history for a chosen initial condition is derived by solving the actual equation of motion and the history is then decomposed per Continuous Wavelet Transform (CWT). This helps describe the variation of frequency with initial conditions, and impact. The results are compared to those by Housner. Based on the results of free-vibration characteristics, rocking and overturning phenomena—two aspects of primary interest of a freestanding system—are explained. The study recognizes the domain of overturning in terms of free-vibration characteristics and liberates the overturning phenomenon from the specific characteristics of the excitation at least for one-sine pulse.
Dynamics of Freestanding Rigid Blocks: Interpretation of Free Vibration Characteristics
Lecture Notes in Civil Engineering
Goel, Manmohan Dass (Herausgeber:in) / Vyavahare, Arvind Y. (Herausgeber:in) / Khatri, Ashish P. (Herausgeber:in) / Banerjee, Arghyadeep (Autor:in) / Pradhan, Chandan (Autor:in) / Roy, Rana (Autor:in)
Structural Engineering Convention ; 2023 ; Nagpur, India
26.10.2024
10 pages
Aufsatz/Kapitel (Buch)
Elektronische Ressource
Englisch
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