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有限元基础理论与ANSYS11.0应用

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《有限元基础理论与ANSYS11.0应用》介绍了有限元法的基础理论与ANSYS11.0的应用,全书共分7章,为了兼顾缺乏弹性力学知识的读者,附录中对有限元法涉及的弹性力学基本知识作了简要介绍。第1章对有限元法及ANSYS分析进行了全面概述,以便总体把握个中要点;第2章介绍了有限元法的基础知识及应用,涉及结构静力学、结构动力学、结构非线性、温度场分析、流体力学分析、电磁场分析等问题的有限元法理论;第3章~第7章主要讲述ANSYS操作,第3章介绍ANSYS建模与网格划分,对连接板、轴类零件、支座类零件、圆柱齿轮等建模过程实例操作;第4章介绍结构线性静力分析过程,对连杆受力分析、板中圆孔应力集中分析、内六角扳手受力分析、轮子的受力分析等实例操作;第5章介绍动力学分析过程,对机翼模态分析、电动机系统谐响应分析、梁结构瞬态动力学分析等实例操作;第6章介绍非线性分析过程,对铜弹冲击刚性壁分析、圆盘塑性变形分析、销与销孔接触分析等实例操作;第7章介绍温度场分析、流体力学分析、电磁场分析、结构优化设计等过程与实例操作。
《有限元基础理论与ANSYS11.0应用》面向高等院校工程专业的本科生或研究生,可作为土木、水利、机械等工科专业本科生及研究生教材,也可以作为工程设计人员的参考书籍。非常利于读者初步掌握有限元方法和ANSYS操作,并提高解决工程结构实际问题的能力。
Catalogue

前言
第1章 有限元法及ANSYS概述
1.1 发展与现状
1.2 矩阵分析法及有限元法分析的一般步骤
1.3 ANSYS基本操作
1.4 本章小结
1.5 习题
第2章 有限元法基础理论
2.1 结构静力学问题的有限元法
2.2 结构动力学问题的有限元法
2.3 结构非线性问题的有限元法
2.4 热传导问题的有限元法
2.5 流体力学分析的有限元法
2.6 电磁场分析的有限元法
2.7 本章小结
2.8 习题
第3章 ANSYS建模
3.1 建模基础
3.2 建立复杂有限元模型
3.3 连接板建模实例
3.4 轴类零件建模实例
3.5 圆柱齿轮建模实例
3.6 本章小结
3.7 习题
第4章 结构线性静力分析
4.1 结构静力分析过程与步骤
4.2 连杆受力分析实例
4.3 圆孔应力集中分析实例
4.4 内六角扳手静力分析实例
4.5 轮子受力分析实例
4.6 本章小结
4.7 习题
第5章 动力学分析
5.1 动力学分析的过程与步骤
5.2 机翼模态分析实例
5.3 电动机系统谐响应分析实例
5.4 梁结构瞬态动力学分析实例
5.5 本章小结
5.6 习题
第6章 非线性分析
6.1 基本概念
6.2 非线性分析的过程与步骤
6.3 铜弹冲击刚性壁的非线性分析实例
6.4 圆盘塑性变形分析实例
6.5 销与销孔接触分析
6.6 本章小结
6.7 习题
第7章 其他问题分析
7.1 热分析
7.2 流体动力学分析
7.3 电磁场分析
7.4 结构优化设计
7.5 本章小结
7.6 习题
附录
附录A 弹性力学的基本方程
附录B ANSYS程序中常用量和单位
参考文献
Book Abstract

第1章 有限元法及ANSYS概述
CAE即计算机辅助工程,指工程设计中的分析计算与仿真。CAE软件可分为专用和通用两类,前者主要是针对特定类型的工程或产品用于产品性能分析、预测和优化的软件。它以在某个领域中的应用深入而见长,如美国ETA公司的汽车专用CAE软件LS/DYNA3D及ETA/FEMB、等。通用软件可对多种类型的工程和产品的物理力学性能进行分析、模拟、预测、评价和优化,以实现产品技术创新。它以覆盖的应用范围广而著称,如ANSYS、PATRAN、NASTRAN和MARC等。
目前在工程技术领域内常用的数值模拟方法有:有限单元法(Finite Element Method,FEM)、边界元法(Boundary Element Method,BEM)和有限差分法(Finite Difference Method,FDM)等,但就其实用性和应用的广泛性而言,主要还是有限单元法。作为一种离散化的数值解法,有限单元法首先在结构分析,然后又在其他领域中得到广泛应用。
【本章重点】
有限元法与ANSYS软件的起源与发展;
矩阵分析法分析杆件结构的过程与步骤;
ANSYS界面组成及分析问题的步骤。
1.1发展与现状
离散化的思想可以追溯到20世纪40年代。1941年A.Hrennikoff首次提出用离散元素法求解弹性力学问题,当时仅限于用杆系结构来构造离散模型,但能很好地说明有限元的思想。如果原结构是杆系,这种方法的解是精确的,发展到现在就是大家熟知的矩阵分析法。究其实质这还不能说就是有限单元法的思想,但结合以后的有限元理论,统称为广义有限单元法。1943年R.Courant在求解扭转问题时为了表征翘曲函数而将截面分成若干三角形区域,在各三角形区域设定一个线性的翘曲函数,这实质上就是有限单元法的基本思想(对里兹法的推广),这一思想真正用于工程中是在电子计算机出现后。
20世纪50年代因航空工业的需要,美国波音公司的专家首次采用三节点三角形单元,将矩阵位移法用到平面问题上。同时,联邦德国斯图加特大学的J.H.Argyris教授发表了一组能量原理与矩阵分析的论文,为这一方法的理论基础作出了杰出贡献。1960年美国的R.W.Clough教授在一篇题为“平面应力分析的有限单元法”的论文中首先使用“有限单元法(theFinite ElementMethod)”一词,此后这一名称得到广泛承认。
……
Introduction

本书坚持理论与实践紧密结合的原则,将有限元理论与ANSYs操作糅合在一起,以期促进有限元理论与ANSYS的学习、应用、推广与普及。

有限元法是当前工程技术领域最常用、最有效的数值计算方法,已成为现代工程设计技术不可或缺的重要组成部分。ANSYS软件是融结构、流体、电场、磁场、声场及热传导等领域静力学、动力学及边界耦合问题分析于一体的大型通用有限元分析软件,由世界上最大的有限元分析软件公司之一的美国ANSYS公司开发,它能与多数CAD软件(如Pro/ENGINEER、UG、NASTRAN、I-DEAS、AutoCAD)及机械仿真软件(如ADAMS)接口,实现数据的共享和交换,是现代产品设计中的高级CAE工具之一。

本书是为土木、水利、机械等工科专业本科生、研究生和工程技术人员学习有限元法和ANSYS操作而编写的教材。编者集多年从事本科生、研究生教学与科研经验,编写时力求深入浅出,概念清晰,思路简明,系统性强。论述以ANSYS11.0软件为主,兼顾其他版本;为了能够和其他参考资料相互印证,便于ANSYs学习,书中诸多例题以操作过程为主线,有的采用公制单位,有的采用英制单位,尽管ANSYS程序中并不特别强调物理量的单位。需要特别指出的是一个分析过程内英制和公制单位不可混用!

本书依次介绍结构静力学问题、结构动力学问题、结构非线性问题、温度场、流体力学及电磁场问题分析的有限元方法及ANSYS操作步骤。第1章对有限元法及ANSYS分析进行全面概述,以便总体把握个中要点;第2章介绍了有限元法的基础知识及应用,涉及结构静力学、结构动力学、结构非线性、温度场分析、流体力学分析、电磁场分析等问题的有限元法理论;第3章~第7章主要讲述ANSY’S操作,第3章介绍ANSYS建模与网格划分,对连接板、轴类零件、支座类零件、圆柱齿轮等建模过程实例操作:第4章介绍结构线性静力分析过程,对连杆受力分析、板中圆孔应力集中分析、内六角扳手受力分析、轮子的受力分析等实例操作;第5章介绍动力学分析过程,对机翼模态分析、电动机系统谐响应分析、梁结构瞬态动力学分析等实例操作;第6章介绍非线性分析过程,对铜弹冲击刚性壁分析、圆盘塑性变形分析、销与销孔接触分析等实例操作;第7章介绍温度场分析、流体力学分析、电磁场分析、结构优化设计等过程与实例操作。书后附录还提供了弹性力学的基本方程、各领域常用量及其单位换算关系。

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