Lecture 9 Blending Surfaces 9.1 Examples and motivation Blending surfaces, providing a smooth connection between various primary or functional sur- faces, are very common in CAD. Examples include blending surfaces between Fuselage and wings of airplanes Propeller or turbine blade and hub Bulbous bow and ship hull Primary faces of solid models
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Lecture 2 Differential geometry of curves 2.1 Definition of curves 2.1.1 Plane curves Implicit curves f(, y)=0 Example:x2+y2=a2 It is difficult to trace implicit curves It is easy to check if a point lies on the curve Multi-valued and closed curves can be represented
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Lecture 3 Differential geometry of surfaces 3.1 Definition of surfaces Implicit surfaces F(r,,a)=0 Example: 22+6+2=1 Ellipsoid, see Figure 3.1 Figure 3.1: Ellipsoid · Explicit surfaces If the implicit equation F(, y, a)=0 can be solved for one of the variables as a function
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Lecture 6 B-splines(Uniform and Non-uniform) 6.1 Introduction The formulation of uniform B-splines can be generalized to accomplish certain objectives These include Non-uniform parameterization Greater general flexibility Change of one polygon vertex in a Bezier curve or of one data point in a cardinal(or interpolatory) spline curve changes entire curve(global schemes) Remove necessity to increase degree of Bezier curves or construct composite Bezier curves
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Lecture 4 Introduction to Spline Curves 4.1 Introduction to parametric spline curves Parametric formulation =r(u),y=y(u), z=2(u) or R=R(u)(vector notation) Usually applications need a finite range for u(e.g. 0
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Lecture 1 Introduction and classification of geometric modeling forms 1.1 Motivation Geometric modeling deals with the mathematical representation of curves, surfaces, and solids necessary in the definition of complex physical or engineering objects. The associated field of computational geometry is concerned with the development, analysis, and computer implemen tation of algorithms encountered in geometric modeling. The objects we are concerned with in engineering range from the simple
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Aircraft Lateral Dynamics Using a procedure similar to the longitudinal case, we can develop the equa tions of motion for the lateral dynamics
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美国麻省理工大学：《Aerospace Dynamics（航空动力学）》英文版 Lecture 15
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Aircraft Dynamics First note that it is possible to develop a very good approximation of a key motion of an aircraft(called the Phugoid mode) using a very simple balance between the kinetic and potential energies Consider an aircraft in steady, level fight with speed Uo and height ho
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麻省理工学院：《数值模拟导论》第十六讲 计算周期性稳定态的方法2麻省理工学院：《Multidisciplinary System》Lecture 6 23 February《空中交通运输系统》（英文版）chapter 20 business case《航空器的稳定与控制》（英文版）Lecture 13 Altitude Controller美国麻省理工大学：《Thermal Energy》（热能） 11 index麻省理工学院：《偏微分方程式数字方法》（英文版）Lecture 16 Discret ization of the poisson《航线进度计划》（英文版） lec10 schedule design《全球定位系统原理》（英文版）Lecture 12 Prof Thomas Herring西北工业大学：《航天器控制原理》课程教学资源（PPT课件）第一章 绪论麻省理工学院：《Multidisciplinary System》Lecture 17 Apri5《随机预算与调节》（英文版）Lecture 6 Example: Sumn of two independent random variables