Multiscale Multibody Dynamics: Motion Formalism Implementation
Wang, Jielong
- 出版商: Springer
- 出版日期: 2024-03-26
- 售價: $6,040
- 貴賓價: 9.5 折 $5,738
- 語言: 英文
- 頁數: 359
- 裝訂: Quality Paper - also called trade paper
- ISBN: 9811984433
- ISBN-13: 9789811984433
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This book presents a novel theory of multibody dynamics with distinct features, including unified continuum theory, multiscale modeling technology of multibody system, and motion formalism implementation. All these features together with the introductions of fundamental concepts of vector, dual vector, tensor, dual tensor, recursive descriptions of joints, and the higher-order implicit solvers formulate the scope of the book's content. In this book, a multibody system is defined as a set consisted of flexible and rigid bodies which are connected by any kinds of joints or constraints to achieve the desired motion. Generally, the motion of multibody system includes the translation and rotation; it is more efficient to describe the motion by using the dual vector or dual tensor directly instead of defining two types of variables, the translation and rotation separately. Furthermore, this book addresses the detail of motion formalism and its finite element implementation of the solid, shell-like, and beam-like structures. It also introduces the fundamental concepts of mechanics, such as the definition of vector, dual vector, tensor, and dual tensor, briefly. Without following the Einstein summation convention, the first- and second-order tensor operations in this book are depicted by linear algebraic operation symbols of row array, column array, and two-dimensional matrix, making these operations easier to understand. In addition, for the integral of governing equations of motion, a set of ordinary differential equations for the finite element-based discrete system, the book discussed the implementation of implicit solvers in detail and introduced the well-developed RADAU IIA algorithms based on post-error estimation to make the contents of the book complete.
The intended readers of this book are senior engineers and graduate students in related engineering fields.
作者簡介
Dr. Jielong Wang obtained his Ph.D. degree from the School of Aerospace Engineering of Georgia Institute of Technology in 2007. Under the guidance of his adviser, Dr. Olivier A. Bauchau, distinguished Igor Sikorsky Professor of Rotorcraft, he developed interesting approaches to stability analysis based on the Partial Floquet method and designed an efficient and robust system identification algorithm and optimization control method that can be applied to large-scale, flexible multibody dynamics systems. They are now used by the rotorcraft industry, such as Sikorsky and Bell Helicopter, in a routine manner. After graduating from Georgia Institute of Technology, he worked for Gamma Technologies, LLC. In this company, he designed stiff solvers, such as second-order HHT algorithm and 2- and 3-stage Radau IIA algorithms to solve the large-scale ordinary differential equations (ODEs) and the differential algebraic equations (DAEs). These solvers have been plugged in the GT-SUITE as the kernel code to predict the dynamic response of automobile engines and simulate the chemical reaction process of gasoline combustion. He also independently accomplished the nonlinear beam and cable elements, timing belt, spur/helical gear transmission, and semi-rigid contact models.
In 2011, he settled in Beijing, China, and continued his work in multibody dynamics, aeroelasticity, contact/impact, and computational mechanics. He developed the novel numerical modeling program of multibody dynamics, which can model the civil aircraft including wings, fuselage, tails, pylons, nacelles, and control panels as a flexible multibody system to estimate its flight behavior. The element library of this program provides a plenty of elements, such as the geometrically nonlinear beam with warping, the geometrically exact plate and shell, the modal super element, the recursive implementations of six lower pair joints, the screw theory-based rigid body and multi-point constraints, andthe Hertz contact models with Columb/LuGre dry frictions. This program couples with the high-precision CFD solvers to implement the real aeroelastic simulation of the complete configuration of civil aircraft in transonic regime. He also proposed the use of Lyapunov characteristic exponents (LCEs) in addition to Floquet theory for nonlinear flutter analysis. He focused on the relations of the Cosserat continuum, multiscale mechanics, and multibody dynamics and extended his research to the finite element implementation of Cosserat continuum and its multiscale modeling technology. Only under the assumption of geometric dimension reduction, he established the unified formulas of governing equations of three-dimensional Cosserat solid, two-dimensional plate/shell, one-dimensional beam, rigid body, three-dimensional Cauchy solid, membrane, and cable. This new multibody theory combined with finite element technology opens a new gate for effective modeling of multibody system. The multiscale analysis under the framework of this unified theory can be carried out in a more efficient manner: The detailed local scale analysis affords the stiffness constants for the global model, and then a detailed strain/stress analysis in the level of local scale is performed using the predicted global stress resultants as load inputs.
作者簡介(中文翻譯)
王傑龍博士於2007年從喬治亞理工學院航空航天工程學院獲得博士學位。在他的導師奧利維爾·A·鮑肖（Olivier A. Bauchau）博士的指導下，他基於部分Floquet方法開發了穩定性分析的有趣方法，並設計了一種高效且強健的系統識別算法和優化控制方法，可應用於大型、柔性多體動力學系統。這些方法現在被旋翼飛機行業（如Sikorsky和Bell直升機）常規使用。畢業於喬治亞理工學院後，他在Gamma Technologies, LLC工作。在這家公司，他設計了剛性求解器，如二階HHT算法和2和3階Radau IIA算法，用於解決大型常微分方程（ODEs）和微分代數方程（DAEs）。這些求解器已作為GT-SUITE的核心代碼插入，用於預測汽車引擎的動態響應和模擬汽油燃燒的化學反應過程。他還獨立完成了非線性梁和纜索元素、同步帶、直齒/斜齒齒輪傳動和半剛性接觸模型。
2011年，他定居於中國北京，並繼續從事多體動力學、氣彈性、接觸/碰撞和計算力學的工作。他開發了新型的多體動力學數值建模程序，可以將民用飛機（包括機翼、機身、尾翼、支架、發動機罩和控制面）建模為柔性多體系統，以估計其飛行行為。該程序的元素庫提供了許多元素，例如具有翹曲的幾何非線性梁、幾何精確的板和殼、模態超元素、六個下對接點的遞歸實現、基於螺旋理論的剛體和多點約束，以及具有Columb/LuGre乾摩擦的赫茲接觸模型。該程序與高精度CFD求解器結合，實現了民用飛機在跨音速區域的真實氣彈性模擬。他還提出了在非線性擺動分析中使用Lyapunov特徵指數（LCEs）以及Floquet理論。他專注於Cosserat連續體、多尺度力學和多體動力學之間的關係，並將研究擴展到Cosserat連續體的有限元實現及其多尺度建模技術。在幾何尺寸縮減的假設下，他建立了三維Cosserat固體、二維板/殼、一維梁、剛體、三維Cauchy固體、薄膜和纜索的統一控制方程式。這種新的多體理論結合有限元技術為多體系統的有效建模開啟了新的大門。在這個統一理論的框架下進行的多尺度分析可以更高效地進行：詳細的局部尺度分析提供了全局模型的剛度常數，然後使用預測的全局應力結果作為載荷輸入進行局部尺度的詳細應變/應力分析。
