Lagrangian-Laplace Dynamic Mechanical Analysis and Modeling of Inverted Pendulum Article Swipe
M. C. Agarana
,
Esther T. Akinlabi
·
YOU?
·
· 2019
· Open Access
·
· DOI: https://doi.org/10.1016/j.promfg.2019.06.013
YOU?
·
· 2019
· Open Access
·
· DOI: https://doi.org/10.1016/j.promfg.2019.06.013
As a result of increase in application of robotics in medicine, agriculture, Military, Industries Explorations and Entertainment, there has been an increase in inverted pendulum analysis as regards its motion, stability, and control. This study is concerned with the development of equation of motion and its analysis by adopting the Lagrangian and Laplace transform method respectively. The Lagrangian was used to develop the models. The resulting models were solved analytically adopting Laplace transform method. Results obtained are consistent with the ones in the literature. Specifically, the angular displacement was found to be periodic.
Related Topics
Concepts
Laplace transform
Inverted pendulum
Robotics
Laplace's equation
Lagrangian
Displacement (psychology)
Pendulum
Equations of motion
Motion (physics)
Double pendulum
Control theory (sociology)
Mathematics
Applied mathematics
Engineering
Computer science
Mathematical analysis
Artificial intelligence
Classical mechanics
Robot
Physics
Control (management)
Mechanical engineering
Nonlinear system
Differential equation
Psychotherapist
Quantum mechanics
Psychology
Metadata
- Type
- article
- Language
- en
- Landing Page
- https://doi.org/10.1016/j.promfg.2019.06.013
- OA Status
- diamond
- Cited By
- 2
- References
- 3
- Related Works
- 10
- OpenAlex ID
- https://openalex.org/W2968774594
All OpenAlex metadata
Raw OpenAlex JSON
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https://openalex.org/W2968774594Canonical identifier for this work in OpenAlex
- DOI
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https://doi.org/10.1016/j.promfg.2019.06.013Digital Object Identifier
- Title
-
Lagrangian-Laplace Dynamic Mechanical Analysis and Modeling of Inverted PendulumWork title
- Type
-
articleOpenAlex work type
- Language
-
enPrimary language
- Publication year
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2019Year of publication
- Publication date
-
2019-01-01Full publication date if available
- Authors
-
M. C. Agarana, Esther T. AkinlabiList of authors in order
- Landing page
-
https://doi.org/10.1016/j.promfg.2019.06.013Publisher landing page
- Open access
-
YesWhether a free full text is available
- OA status
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diamondOpen access status per OpenAlex
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https://doi.org/10.1016/j.promfg.2019.06.013Direct OA link when available
- Concepts
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Laplace transform, Inverted pendulum, Robotics, Laplace's equation, Lagrangian, Displacement (psychology), Pendulum, Equations of motion, Motion (physics), Double pendulum, Control theory (sociology), Mathematics, Applied mathematics, Engineering, Computer science, Mathematical analysis, Artificial intelligence, Classical mechanics, Robot, Physics, Control (management), Mechanical engineering, Nonlinear system, Differential equation, Psychotherapist, Quantum mechanics, PsychologyTop concepts (fields/topics) attached by OpenAlex
- Cited by
-
2Total citation count in OpenAlex
- Citations by year (recent)
-
2025: 1, 2023: 1Per-year citation counts (last 5 years)
- References (count)
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3Number of works referenced by this work
- Related works (count)
-
10Other works algorithmically related by OpenAlex
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