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14 個評分
4 個審閱
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完成時間(小時)

完成時間大約為22 小時

建議:Best completed in 4 weeks, with a commitment of between 2 and 5 hours of work per week....
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100% online

100% online

立即開始,按照自己的計劃學習。
可靈活調整截止日期

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根據您的日程表重置截止日期。
高級

高級

完成時間(小時)

完成時間大約為22 小時

建議:Best completed in 4 weeks, with a commitment of between 2 and 5 hours of work per week....
可選語言

英語(English)

字幕:英語(English)...

教學大綱 - 您將從這門課程中學到什麼

1
完成時間(小時)
完成時間為 4 小時

Continuous Systems and Rigid Bodies

The dynamical equations of motion are developed using classical Eulerian and Newtonian mechanics. Emphasis is placed on rigid body angular momentum and kinetic energy expression that are shown in a coordinate frame agnostic manner. The development begins with deformable shapes (continuous systems) which are then frozen into rigid objects, and the associated equations are thus simplified....
Reading
19 個視頻(共 158 分鐘), 9 個測驗
Video19 個視頻
Module 1 Introduction分鐘
Overview of Kinetics2分鐘
1: Continuous System Super Particle Theorem13分鐘
2: Continuous System Kinetic Energy9分鐘
3: Continuous System Linear Momentum2分鐘
4: Continuous System Angular Momentum7分鐘
Optional Review: Continuous Momentum and Energy Properties19分鐘
5: Rigid Body Angular Momentum6分鐘
6: Rigid Body Inertia Tensor3分鐘
6.1: Rigid Body Inertia about Alternate Points3分鐘
6.2: Rigid Body Inertia about Alternate Body Axes6分鐘
7: Rigid Body Kinetic Energy6分鐘
8: Rigid Body Equations of Motion13分鐘
8.1: Integrating Rigid Body Equations of Motion1分鐘
8.2 Example: Slender Rod Falling19分鐘
(Tips for Solving Spring Particle Systems)5分鐘
Optional Review: Rigid Body Properties14分鐘
Optional Review: Rigid Body Equations of Motion19分鐘
Quiz9 個練習
Concept Check 1 - Super Particle Theorem6分鐘
Concept Check 2 - Kinetic Energy8分鐘
Concept Check 3 - Linear Momentum2分鐘
Concept Check 4 - Angular Momentum4分鐘
Concept Check 5 - Angular Momentum8分鐘
Concept Check 6 - Parallel Axis Theorem2分鐘
Concept Check 6.1 - Coordinate Transformation8分鐘
Concept Check 7 - Kinetic Energy4分鐘
Concept Check 8 - Equations of Motion20分鐘
2
完成時間(小時)
完成時間為 4 小時

Torque Free Motion

The motion of a single or dual rigid body system is explored when no external torques are acting on it. Large scale tumbling motions are studied through polhode plots, while analytical rate solutions are explored for axi-symmetric and general spacecraft shapes. Finally, the dual-spinner dynamical system illustrates how the associated gyroscopics can be exploited to stabilize any principal axis spin....
Reading
17 個視頻(共 166 分鐘), 9 個測驗
Video17 個視頻
1: Torque Free Motion Polhode Plots33分鐘
1.1 Example: Special Polhode Plots3分鐘
2: Torque Free Motion Axisymmetric Solution5分鐘
3: Torque Free Motion General Inertia Case14分鐘
4: Torque Free Motion Integrals of Motion6分鐘
5: Torque Free Motion Phase Space Plots9分鐘
5 Example: Phase Space Plots for Varying Energy Levels4分鐘
6: Torque Free Motion Attitude Precession11分鐘
6 Example: Phase Space Plot of Duffing Equation4分鐘
Optional Review: Torque Free Motion10分鐘
7: Dual Spinner Equations of Motion11分鐘
8: Dual Spinner Spin Equilibria7分鐘
9: Dual Spinner Linear Stability11分鐘
9 Example: Dual Spinner Stability10分鐘
9.1: Spin Up Considerations13分鐘
Optional Review: Dual Spinner EOM and Equilibria7分鐘
Quiz9 個練習
Concept Check 1 - Rigid Body Polhode Plots18分鐘
Concept Check 2 - Torque Free Motion with Axisymmetric Body4分鐘
Concept Check 3 - Torque Free Motion General Inertia14分鐘
Concept Check 4 - Torque Free Motion Integrals of Motion2分鐘
Concept Check 5 - Torque Free Motion Phase Space Plots2分鐘
Concept Check 6 - Torque Free Motion Precession2分鐘
Concept Check 7 - Dual Spinner Equations of Motion2分鐘
Concept Check 8 - Dual Spinner Equilibria6分鐘
Concept Check 9 - Dual Spinner Linear Stability10分鐘
3
完成時間(小時)
完成時間為 2 小時

Gravity Gradients

The differential gravity across a rigid body is approximated to the first order to study how it disturbs both the attitude and orbital motion. The gravity gradient relative equilibria conditions are derived, whose stability is analyzed through linearization. ...
Reading
7 個視頻(共 77 分鐘), 3 個測驗
Video7 個視頻
1: Gravity Gradient Torque Development19分鐘
1.1: Gravity Gradient Torque in Body Frame7分鐘
1.2: Gravity Gradient Net Spacecraft Force9分鐘
2: Gravity Gradient Relative Equilibria Orientations10分鐘
3: Gravity Gradient Linear Stability about Equilibria22分鐘
Extra Example: Gravity Gradient Polar Pear Mission5分鐘
Quiz3 個練習
Concept Check 1 - Gravity Gradient Derivation12分鐘
Concept Check 2 - Gravity Gradient Equilibria4分鐘
Concept Check 3 - Gravity Gradient Linear Stability2分鐘
4
完成時間(小時)
完成時間為 4 小時

Equations of Motion with Momentum Exchange Devices

The equations of motion of a rigid body are developed with general momentum exchange devices included. The development begins with looking at variable speed control moment gyros (VSCMG), which are then specialized to classical single-gimbal control moment devices (CMGs) and reaction wheels (RW)....
Reading
7 個視頻(共 95 分鐘), 5 個測驗
Video7 個視頻
1: Introduction to Momentum Exchange Devices2分鐘
1.2: Overview of Momentum Control Devices16分鐘
2: VSCMG Equations of Motion Development41分鐘
3: VSCMG Motor Torque Equations8分鐘
4: VSCMG EOM Variations9分鐘
Optional Review of Momentum Exchange Devices15分鐘
Quiz4 個練習
Concept Check 1 - Overview of Momentum Exchange Devices14分鐘
Concept Check 2 - VSCMG Equations of Motion10分鐘
Concept Check 3 - VSCMG Motor Torque Equations6分鐘
Concept Check 4 - VSCMG EOM Variations6分鐘

講師

Avatar

Hanspeter Schaub

Glenn L. Murphy Chair of Engineering, Professor
Department of Aerospace Engineering Sciences

關於 University of Colorado Boulder

CU-Boulder is a dynamic community of scholars and learners on one of the most spectacular college campuses in the country. As one of 34 U.S. public institutions in the prestigious Association of American Universities (AAU), we have a proud tradition of academic excellence, with five Nobel laureates and more than 50 members of prestigious academic academies....

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