An Introduction to the Classical Approximation Methods in Applied Mechanics
暫譯: 應用力學中的經典近似方法導論

Öchsner, Andreas

An Introduction to the Classical Approximation Methods in Applied Mechanics
  • 出版商: Springer
  • 出版日期: 2026-01-03
  • 售價: $2,470
  • 貴賓價: 9.5 折 $2,347
  • 語言: 英文
  • 頁數: 92
  • 裝訂: Quality Paper - also called trade paper
  • ISBN: 3032069661
  • ISBN-13: 9783032069665
  • 相關分類: 工程數學 Engineering-mathematics

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商品描述

This book presents a unified approach to classical approximation methods in engineering by applying the weighted residual method to transform differential equations into solvable algebraic systems. It demonstrates how this procedure underlies the finite difference, finite element, finite volume, and boundary element methods. The mechanical focus is on the one-dimensional tensile bar, allowing the mathematical framework and resulting matrix equations to be fully displayed and understood without symbolic abstraction. This approach supports a clear understanding of the derivation processes and is designed to help readers implement and extend features such as constitutive models in commercial simulation tools.

商品描述(中文翻譯)

本書提出了一種統一的方法來處理工程中的經典近似方法，通過應用加權殘差法將微分方程轉換為可解的代數系統。它展示了這一過程如何成為有限差分法、有限元素法、有限體積法和邊界元素法的基礎。機械重點集中在一維拉伸桿上，使數學框架和所產生的矩陣方程能夠完全顯示並理解，而無需符號抽象。這種方法支持對推導過程的清晰理解，並旨在幫助讀者在商業模擬工具中實現和擴展如本構模型等功能。

作者簡介

Andreas Öchsner is Full Professor for lightweight design and structural simulation at the Esslingen University of Applied Sciences, Germany. His research interests are related to experimental and computational mechanics, cellular metals and thin structures and interphases. His editorial work comprises posts as Editor-in-chief of the international journal Continuum Mechanics and Thermodynamics (Springer), Editor-in-chief of the Springer book series on Advanced Structured Materials and Editor of SpringerBriefs in Applied Sciences and Technology: Computational Mechanics.

作者簡介(中文翻譯)

安德烈亞斯·厄赫斯納是德國埃斯林根應用科技大學的輕量設計與結構模擬全職教授。他的研究興趣與實驗力學、計算力學、蜂窩金屬、薄結構及界面相關。他的編輯工作包括擔任國際期刊《連續介質力學與熱力學》（Continuum Mechanics and Thermodynamics，Springer）的主編、斯普林格（Springer）高級結構材料系列書籍的主編，以及《應用科學與技術簡報：計算力學》（SpringerBriefs in Applied Sciences and Technology: Computational Mechanics）的編輯。

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