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Related Concept Videos

Three-Dimensional Force System:Problem Solving01:30

Three-Dimensional Force System:Problem Solving

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A three-dimensional force system refers to a scenario in which three forces act simultaneously in three different directions. This type of problem is commonly encountered in physics and engineering, where it is necessary to calculate the resultant force on the system, which can then be used to predict or analyze the behavior of the object or structure under consideration.
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A two-dimensional system in mechanical engineering involves the analysis of motion and forces in a plane. A two-dimensional force vector can be resolved into its components as:
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In mechanical engineering, a three-dimensional force system is a system of forces acting in three dimensions, with forces applied along the x, y, and z coordinate axes. The three-dimensional force system is an important concept in mechanical engineering, as it allows engineers to understand and analyze the behavior of objects and structures in three dimensions. By understanding the forces acting on a system, engineers can design more efficient and effective mechanical systems that can withstand...
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An electric motor applies a torque of 700 N·m to an aluminum shaft, triggering a stable rotation. Two pulleys, B and C, are subjected to torques of 300 N·m and 400 N·m, respectively. The modulus of rigidity is provided as 25 GPa. With the knowledge of the length and diameter of each segment, the twist angle between the two pulleys can be computed. First, a section cut is made between pulleys B and C, and the cut cross-section is analyzed using a free-body diagram. Given that the...
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Solving problems related to two-dimensional force systems is an essential aspect of mechanics and engineering. By applying the principles of vector analysis and force equilibrium, one can determine the effect of multiple forces acting on an object in a two-dimensional space.
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Support reactions in three dimensions help maintain the stability and equilibrium of various structures and systems. These reactions prevent the system from translating and rotating, ensuring the design can withstand external forces and perform its intended function efficiently and safely. Some of the supports providing support reactions in three dimensions are discussed below:
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Three-dimensional nonsingular impact angle guidance strategy with physical constraints.

Xiao-Yan Yang1, Yu-Chen Zhang1, Shen-Min Song1

  • 1School of Astronautics, Harbin Institute of Technology, Harbin, Heilongjiang 150001, China.

ISA Transactions
|June 26, 2022
PubMed
Summary

Two novel guidance strategies ensure missile interception with precise impact angles, even with limited fields of view and acceleration. These methods maintain target lock-on and account for system limitations.

Keywords:
Capture regionField-of-view constraintImpact angle guidanceInput saturationSliding mode surface

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Area of Science:

  • Aerospace Engineering
  • Guidance, Navigation, and Control (GNC)
  • Robotics

Background:

  • Intercepting stationary targets with specific impact angles is crucial for missile systems.
  • Existing guidance strategies face challenges with nonlinear dynamics, field-of-view (FOV) limitations, and lateral acceleration constraints.

Purpose of the Study:

  • To develop two novel, nonsingular three-dimensional (3D) guidance strategies for impact-angle-constrained interception.
  • To ensure target lock-on is maintained throughout the guidance process.
  • To address nonlinear coupled dynamics and system constraints.

Main Methods:

  • Design of two novel sliding mode surfaces for guaranteed convergence and boundedness.
  • Development of an auxiliary system to compensate for input saturation effects.
  • Analytical determination of the achievable impact angles set based on initial conditions.

Main Results:

  • The proposed sliding mode surfaces ensure impact-angle-constrained interception while maintaining seeker lock-on.
  • The auxiliary system effectively compensates for input saturation.
  • Numerical simulations validate the feasibility and effectiveness of the strategies under various constraints and a realistic missile model.

Conclusions:

  • The developed guidance strategies are effective for achieving desired impact angles under complex constraints.
  • The study provides a robust framework for missile guidance systems facing nonlinear dynamics and operational limitations.