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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GY RoScoPES UPTo NoW HAVE CONSIDE RED PROBLEMS RELE VANT To THE RIG ID 6oDY 0YNAMICS THAT ARE IMPORTANT To AERoSPACE VEHI CLES USEO A BoDY FRAME THAT RDTATES WITH THE VEHICLE ANOTHER IMPORT ANT CLASS oF ARo BLEMS FB0 ES SUCH A5 Gγ Ro ScopEs RoτcRuV啊 HIGH SPIN RAT∈ ESSENTIALLY MASSLESS FRAME (CARDAN)
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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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《数据通信网络》（英文版）Lectures22_23 Flow and congestion control西北工业大学：《航天器控制原理》课程教学资源（PPT课件）第五章 航天器的被动姿态控制系统美国麻省理工大学：《结构分析与设计技术》教学资源（讲义）CQ14《航空器系统工程学》（英文版）Outline《卫星工程》英文版 17 software eng中国科学技术大学：暗能量、残余引力波、CMB极化 Dark energy, relic GW and CMB polarization上海交通大学：《飞机设计 Aircraft Design》课程教学资源_Civil Aircraft Design - 1-Introduction《认知机器人》（英文版） Fast Solutions to CSp's《太空生物工程与生命支撑》（英文版）Visual orientation《航空航天动力学》英文版（一） lecture5《数据通信网络》（英文版）Lecture 21 Optimal Routing