Rigid Structures with Point-Flexibility: Elasto-Statics, Dynamics, Stability and Plastic Collapse
暫譯: 具點靈活性的剛性結構：彈性靜力學、動力學、穩定性與塑性崩潰
Luongo, Angelo, Paolone, Achille, Di Nino, Simona
相關主題
商品描述
This book deals with kinematics and statics of rigid-body systems, lumped elasticity, variational principles, dynamics, stability and bifurcation, piece-wise linear (rigid-plastic or elasto-plastic) constitutive behavior, and geometrically nonlinear behavior. The presentation of the matter is strongly innovative: all the fundamental principles and methods, which are usually discussed for continuous media (namely, the displacement and force methods, the virtual work principle, the stationarity theorems of the total potential and complementary energies), are here illustrated for naturally discrete structures. Consequently, the fundamental problem of mechanics, which, for centenary worldwide tradition, is discussed in the context of the mathematical analysis, is here brought back to the algebra environment. Due to the strong simplifications of the calculus, the learner can focus his attention on the (complex) logical architecture of the linear and nonlinear elasticity theory (and later, of limit analysis), not being distracted by the mathematical difficulties inherent partial differential equations and boundary conditions. Moreover, he easily gains insight into the mechanical behavior of structures, which clearly emerges from the numerous examples presented.
The book is mainly devoted to undergraduate students. However, it is also meant as a reading successive to classic texts on continuous systems, useful to graduate and Ph.D. students to deepen their knowledge of general principles and methods of structural mechanics.
商品描述(中文翻譯)
本書探討剛體系統的運動學和靜力學、集中彈性、變分原理、動力學、穩定性與分岔、分段線性（剛塑性或彈塑性）本構行為，以及幾何非線性行為。內容的呈現具有強烈的創新性：所有通常針對連續介質討論的基本原則和方法（即位移法和力法、虛功原理、總勢能和互補能量的靜態定理），在此皆以自然離散結構進行說明。因此，機械學的基本問題，根據百年來的全球傳統，通常在數學分析的背景下討論，現在則回到代數環境。由於計算的強大簡化，學習者可以專注於線性和非線性彈性理論（以及後來的極限分析）的（複雜）邏輯架構，而不會被偏微分方程和邊界條件固有的數學困難所分心。此外，透過眾多示例的呈現，學習者能輕易洞察結構的機械行為。
本書主要針對本科生。然而，它也適合作為經典連續系統文本的後續閱讀，對於研究生和博士生來說，能夠深化他們對結構力學一般原則和方法的理解。
作者簡介
Angelo Luongo is a professor (retired) of Solid and Structural Mechanics at L'Aquila University, Italy. He currently serves as an editor-in-chief of MDPI journal "CivilEng" and associate editor of Springer Journal "Nonlinear Dynamics." His research interests include linear and nonlinear dynamics, buckling and postbuckling, aeroelasticity, dynamic instability, perturbation methods, structural modeling. With Springer, he published the textbooks Stability and Bifurcation of Structures (2023) and Perturbation Methods and Nonlinear Phenomena (2024).
Achille Paolone is a professor of Structural Mechanics at Sapienza University of Rome, Italy. His research interests include structural dynamics, computational mechanics, structural identification and monitoring, seismic engineering, structural stability, and earthquake resistant structures. His extensive practical experience in structural engineering informs his teaching approach, connecting theoretical concepts to real-world applications.
Simona Di Nino holds a Ph.D. in Mathematics and Modeling and is currently an assistant professor of Solid and Structural Mechanics at the University of L'Aquila, Italy. Her research interests encompass linear and nonlinear dynamics, aeroelasticity, dynamic instability, perturbation methods, homogenization methods, masonry, and damage constitutive models. In 2023, she published the textbook Stability and Bifurcation of Structures with Springer.
作者簡介(中文翻譯)
安傑洛·盧翁戈（Angelo Luongo）是義大利拉奎拉大學（L'Aquila University）固體與結構力學的退休教授。他目前擔任MDPI期刊《CivilEng》的主編，以及施普林格（Springer）期刊《Nonlinear Dynamics》的副編輯。他的研究興趣包括線性與非線性動力學、屈曲與後屈曲、氣動彈性、動態不穩定性、擾動方法和結構建模。與施普林格合作，他出版了教科書《結構的穩定性與分岔》（Stability and Bifurcation of Structures，2023）和《擾動方法與非線性現象》（Perturbation Methods and Nonlinear Phenomena，2024）。
阿基勒·帕奧隆（Achille Paolone）是義大利羅馬薩賓納大學（Sapienza University of Rome）結構力學的教授。他的研究興趣包括結構動力學、計算力學、結構識別與監測、地震工程、結構穩定性以及抗震結構。他在結構工程方面的豐富實務經驗影響了他的教學方法，將理論概念與實際應用相連結。
西蒙娜·迪尼諾（Simona Di Nino）擁有數學與建模的博士學位，目前是義大利拉奎拉大學固體與結構力學的助理教授。她的研究興趣涵蓋線性與非線性動力學、氣動彈性、動態不穩定性、擾動方法、均質化方法、磚石結構以及損傷本構模型。她於2023年與施普林格出版了教科書《結構的穩定性與分岔》。
