《机械工程控制基础laplace变换》由会员分享，可在线阅读，更多相关《机械工程控制基础laplace变换（21页珍藏版）》请在金锄头文库上搜索。
1、补充内容：拉普拉斯变换用拉普拉斯变换解线性常微分方程，可将微积分运算转化为代数运算，将微分方程变成变成代数方程，而且有变换表可供利用，因而是一种较为简便的工程数学方法。一、拉氏变换定义一、拉氏变换定义Evaluation only.Created with Aspose.Slides for .NET 3.5 Client Pro.Copyright 2004-2011 Aspose Pty Ltd.Evaluation only.Created with Aspose.Slides for .NET 3.5 Client Pro.Copyright 2004-2011 Aspose Pty
2、Ltd.二、拉氏变换的几个基本性质二、拉氏变换的几个基本性质二、拉氏变换的几个基本性质二、拉氏变换的几个基本性质（1 1）线性性质）线性性质（2）微分性质Evaluation only.Created with Aspose.Slides for .NET 3.5 Client Pro.Copyright 2004-2011 Aspose Pty Ltd.象函数的微分性质Evaluation only.Created with Aspose.Slides for .NET 3.5 Client Pro.Copyright 2004-2011 Aspose Pty Ltd.（3）积分性质象函数的
3、积分性质Evaluation only.Created with Aspose.Slides for .NET 3.5 Client Pro.Copyright 2004-2011 Aspose Pty Ltd.（6）初值定理（7）终值定理（4）位移性质（5）延迟性质Evaluation only.Created with Aspose.Slides for .NET 3.5 Client Pro.Copyright 2004-2011 Aspose Pty Ltd.三、几种典型函数的拉氏变换三、几种典型函数的拉氏变换三、几种典型函数的拉氏变换三、几种典型函数的拉氏变换1 1、单位阶跃函数、单
4、位阶跃函数u(t)u(t)1f(t)tEvaluation only.Created with Aspose.Slides for .NET 3.5 Client Pro.Copyright 2004-2011 Aspose Pty Ltd.2 2、单位斜坡函数、单位斜坡函数斜率=1f(t)tf(t)t3 3、等加速度函数、等加速度函数Evaluation only.Created with Aspose.Slides for .NET 3.5 Client Pro.Copyright 2004-2011 Aspose Pty Ltd.4 4、高次方、高次方Evaluation only.Cr
5、eated with Aspose.Slides for .NET 3.5 Client Pro.Copyright 2004-2011 Aspose Pty Ltd.5 5、指数函数、指数函数f(t)t6 6、正弦函数、正弦函数Evaluation only.Created with Aspose.Slides for .NET 3.5 Client Pro.Copyright 2004-2011 Aspose Pty Ltd.余弦函数Evaluation only.Created with Aspose.Slides for .NET 3.5 Client Pro.Copyright 20
6、04-2011 Aspose Pty Ltd.6 6、单位脉冲函数、单位脉冲函数t0Evaluation only.Created with Aspose.Slides for .NET 3.5 Client Pro.Copyright 2004-2011 Aspose Pty Ltd.微分法则76解法解法2t0Evaluation only.Created with Aspose.Slides for .NET 3.5 Client Pro.Copyright 2004-2011 Aspose Pty Ltd.8Evaluation only.Created with Aspose.Slid
7、es for .NET 3.5 Client Pro.Copyright 2004-2011 Aspose Pty Ltd.四、拉氏反变换四、拉氏反变换按定义求拉氏反变换很困难，一般常用部分分式法计算：按定义求拉氏反变换很困难，一般常用部分分式法计算： 部分分式原函数分解查表注意系数Evaluation only.Created with Aspose.Slides for .NET 3.5 Client Pro.Copyright 2004-2011 Aspose Pty Ltd.1、解：解：Evaluation only.Created with Aspose.Slides for .NE
8、T 3.5 Client Pro.Copyright 2004-2011 Aspose Pty Ltd.Evaluation only.Created with Aspose.Slides for .NET 3.5 Client Pro.Copyright 2004-2011 Aspose Pty Ltd.Evaluation only.Created with Aspose.Slides for .NET 3.5 Client Pro.Copyright 2004-2011 Aspose Pty Ltd.2 2、Evaluation only.Created with Aspose.Slid
9、es for .NET 3.5 Client Pro.Copyright 2004-2011 Aspose Pty Ltd.注意：上面求F（S）的拉氏变换时，是假定。 ，当 时，上面的方法不能直接使用。3、Evaluation only.Created with Aspose.Slides for .NET 3.5 Client Pro.Copyright 2004-2011 Aspose Pty Ltd.4 4、解：解：Evaluation only.Created with Aspose.Slides for .NET 3.5 Client Pro.Copyright 2004-2011 Aspose Pty Ltd.
