找回密碼
 To register

QQ登錄

只需一步,快速開(kāi)始

掃一掃,訪問(wèn)微社區(qū)

打印 上一主題 下一主題

Titlebook: Geometry, Mechanics, and Control in Action for the Falling Cat; Toshihiro Iwai Book 2021 The Editor(s) (if applicable) and The Author(s),

[復(fù)制鏈接]
查看: 44316|回復(fù): 35
樓主
發(fā)表于 2025-3-21 17:30:54 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
書(shū)目名稱(chēng)Geometry, Mechanics, and Control in Action for the Falling Cat
編輯Toshihiro Iwai
視頻videohttp://file.papertrans.cn/384/383848/383848.mp4
概述Gives undergraduate and graduate students alike a vivid idea of connection theory in action for many-body systems.Shows that geometric mechanics for many-body systems works well in dealing with the fa
叢書(shū)名稱(chēng)Lecture Notes in Mathematics
圖書(shū)封面Titlebook: Geometry, Mechanics, and Control in Action for the Falling Cat;  Toshihiro Iwai Book 2021 The Editor(s) (if applicable) and The Author(s),
描述The falling cat is an interesting theme to pursue, in which geometry, mechanics, and control are in action together. As is well known, cats can almost always land on their feet when tossed into the air in an upside-down attitude. If cats are not given a non-vanishing angular momentum at an initial instant, they cannot rotate during their motion, and the motion they can make in the air is vibration only. However, cats accomplish a half turn without rotation when landing on their feet.? In order to solve this apparent mystery, one needs to thoroughly understand rotations and vibrations.? The connection theory in differential geometry can provide rigorous definitions of rotation and vibration for many-body systems. Deformable bodies of cats are not easy to treat mechanically. A feasible way to approach the question of the falling cat is to start with many-body systems and then proceed to rigid bodies and, further, to jointed rigid bodies, which can approximate the body of a cat.In this book, the connection theory is applied first to a many-body system to show that vibrational motions of the many-body system can result in rotations without performing rotational motions and then to the
出版日期Book 2021
關(guān)鍵詞Connection theory in differential geometry; Vibrations and rotations of many-body systems; Vanishing a
版次1
doihttps://doi.org/10.1007/978-981-16-0688-5
isbn_softcover978-981-16-0687-8
isbn_ebook978-981-16-0688-5Series ISSN 0075-8434 Series E-ISSN 1617-9692
issn_series 0075-8434
copyrightThe Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Singapor
The information of publication is updating

書(shū)目名稱(chēng)Geometry, Mechanics, and Control in Action for the Falling Cat影響因子(影響力)




書(shū)目名稱(chēng)Geometry, Mechanics, and Control in Action for the Falling Cat影響因子(影響力)學(xué)科排名




書(shū)目名稱(chēng)Geometry, Mechanics, and Control in Action for the Falling Cat網(wǎng)絡(luò)公開(kāi)度




書(shū)目名稱(chēng)Geometry, Mechanics, and Control in Action for the Falling Cat網(wǎng)絡(luò)公開(kāi)度學(xué)科排名




書(shū)目名稱(chēng)Geometry, Mechanics, and Control in Action for the Falling Cat被引頻次




書(shū)目名稱(chēng)Geometry, Mechanics, and Control in Action for the Falling Cat被引頻次學(xué)科排名




書(shū)目名稱(chēng)Geometry, Mechanics, and Control in Action for the Falling Cat年度引用




書(shū)目名稱(chēng)Geometry, Mechanics, and Control in Action for the Falling Cat年度引用學(xué)科排名




書(shū)目名稱(chēng)Geometry, Mechanics, and Control in Action for the Falling Cat讀者反饋




書(shū)目名稱(chēng)Geometry, Mechanics, and Control in Action for the Falling Cat讀者反饋學(xué)科排名




單選投票, 共有 1 人參與投票
 

1票 100.00%

Perfect with Aesthetics

 

0票 0.00%

Better Implies Difficulty

 

0票 0.00%

Good and Satisfactory

 

0票 0.00%

Adverse Performance

 

0票 0.00%

Disdainful Garbage

您所在的用戶(hù)組沒(méi)有投票權(quán)限
沙發(fā)
發(fā)表于 2025-3-21 21:17:01 | 只看該作者
Book 2021gid bodies and, further, to jointed rigid bodies, which can approximate the body of a cat.In this book, the connection theory is applied first to a many-body system to show that vibrational motions of the many-body system can result in rotations without performing rotational motions and then to the
板凳
發(fā)表于 2025-3-22 01:32:40 | 只看該作者
Geometry, Mechanics, and Control in Action for the Falling Cat
地板
發(fā)表于 2025-3-22 07:31:43 | 只看該作者
Continuum Mechanics of Plasticity,This chapter deals with the geometric setting for planar and spatial many-body systems on the basis of connection theory. Rather, the contents of this chapter may be of practical help in understanding the connection theory.
5#
發(fā)表于 2025-3-22 12:30:08 | 只看該作者
Elastography in Liver-Transplanted PatientsIn this chapter, the equations of motion for a free rigid body are treated on the variational principle, which forms a basis for deriving the equations of motion of spatial many-body systems on the variational principle.
6#
發(fā)表于 2025-3-22 13:30:45 | 只看該作者
7#
發(fā)表于 2025-3-22 20:56:08 | 只看該作者
Hans Winter,Klaus Michaelis,Max SimonOn the basis of the geometry, mechanics, and control studied in the previous chapters, the falling cat is modeled and analyzed to make the cat model turn a somersault under a well-designed control input.
8#
發(fā)表于 2025-3-22 22:24:23 | 只看該作者
Tribologie: Reibung, Verschlei?, SchmierungThese appendices contain some remarks on basic notions from differential geometry and advanced materials for many-body systems, together with a review of Newton’s law of gravitation.
9#
發(fā)表于 2025-3-23 03:14:44 | 只看該作者
10#
發(fā)表于 2025-3-23 09:00:15 | 只看該作者
Mechanics of Many-Body Systems,In this chapter, the equations of motion for a free rigid body are treated on the variational principle, which forms a basis for deriving the equations of motion of spatial many-body systems on the variational principle.
 關(guān)于派博傳思  派博傳思旗下網(wǎng)站  友情鏈接
派博傳思介紹 公司地理位置 論文服務(wù)流程 影響因子官網(wǎng) 吾愛(ài)論文網(wǎng) 大講堂 北京大學(xué) Oxford Uni. Harvard Uni.
發(fā)展歷史沿革 期刊點(diǎn)評(píng) 投稿經(jīng)驗(yàn)總結(jié) SCIENCEGARD IMPACTFACTOR 派博系數(shù) 清華大學(xué) Yale Uni. Stanford Uni.
QQ|Archiver|手機(jī)版|小黑屋| 派博傳思國(guó)際 ( 京公網(wǎng)安備110108008328) GMT+8, 2025-10-13 13:19
Copyright © 2001-2015 派博傳思   京公網(wǎng)安備110108008328 版權(quán)所有 All rights reserved
快速回復(fù) 返回頂部 返回列表
阿拉善盟| 色达县| 张家港市| 屏南县| 鹰潭市| 都江堰市| 泗阳县| 咸阳市| 诸暨市| 萨嘎县| 盖州市| 云和县| 肃南| 喀什市| 临湘市| 清原| 磐石市| 十堰市| 牟定县| 大兴区| 都昌县| 弋阳县| 中山市| 阜城县| 江源县| 高安市| 松阳县| 博野县| 台州市| 铁岭市| 祁东县| 罗山县| 龙泉市| 河津市| 乡宁县| 莱西市| 阿鲁科尔沁旗| 延安市| 石狮市| 南江县| 密云县|