Analytical and numerical study of a vibrating magnetic inverted pendulum
CC BY
Lưu vào:
| Tác giả chính: | , , |
|---|---|
| Định dạng: | Sách |
| Ngôn ngữ: | English |
| Nhà xuất bản: |
Springer
2023
|
| Chủ đề: | |
| Truy cập trực tuyến: | https://link.springer.com/article/10.1007/s00419-023-02395-3 https://dlib.phenikaa-uni.edu.vn/handle/PNK/8513 |
| Từ khóa: |
Thêm từ khóa
Không có từ khóa, Hãy là người đầu tiên đánh dấu biểu ghi này!
|
| id |
oai:localhost:PNK-8513 |
|---|---|
| record_format |
dspace |
| spelling |
oai:localhost:PNK-85132023-05-25T06:51:04Z Analytical and numerical study of a vibrating magnetic inverted pendulum Galal M., Moatimid T. S., Amer Marwa H., Zekry inverted pendulum Homotopy perturbation method CC BY The current study investigates the stability structure of the base periodic motion of an inverted pendulum (IP). A uniform magnetic field affects the motion in the direction of the plane configuration. Furthermore, a non-conservative force as one that dampens air is considered. Its underlying equation of motion is derived from traditional analytical mechanics. The mathematical analysis is made simpler by substituting the Taylor theory in order to expand the restoring forces. The modified Homotopy perturbation method (HPM) is employed to achieve a roughly adequate regular result. To support the prior result, a numerical method based on the fourth-order Runge-Kutta method (RK4) is employed. The graphs for both the analytic and numerical solutions are highly consistent with one another, which indicates that the perturbation strategy is accurate. The solution time history curve exhibits a decaying performance and indicates that it is steady and without chaos. 2023-05-25T06:51:04Z 2023-05-25T06:51:04Z 2023 Book https://link.springer.com/article/10.1007/s00419-023-02395-3 https://dlib.phenikaa-uni.edu.vn/handle/PNK/8513 en application/pdf Springer |
| institution |
Digital Phenikaa |
| collection |
Digital Phenikaa |
| language |
English |
| topic |
inverted pendulum Homotopy perturbation method |
| spellingShingle |
inverted pendulum Homotopy perturbation method Galal M., Moatimid T. S., Amer Marwa H., Zekry Analytical and numerical study of a vibrating magnetic inverted pendulum |
| description |
CC BY |
| format |
Book |
| author |
Galal M., Moatimid T. S., Amer Marwa H., Zekry |
| author_facet |
Galal M., Moatimid T. S., Amer Marwa H., Zekry |
| author_sort |
Galal M., Moatimid |
| title |
Analytical and numerical study of a vibrating magnetic inverted pendulum |
| title_short |
Analytical and numerical study of a vibrating magnetic inverted pendulum |
| title_full |
Analytical and numerical study of a vibrating magnetic inverted pendulum |
| title_fullStr |
Analytical and numerical study of a vibrating magnetic inverted pendulum |
| title_full_unstemmed |
Analytical and numerical study of a vibrating magnetic inverted pendulum |
| title_sort |
analytical and numerical study of a vibrating magnetic inverted pendulum |
| publisher |
Springer |
| publishDate |
2023 |
| url |
https://link.springer.com/article/10.1007/s00419-023-02395-3 https://dlib.phenikaa-uni.edu.vn/handle/PNK/8513 |
| _version_ |
1772331161374162944 |
| score |
8.891145 |