Use two different approaches to modeling a bouncing ball using Simulink®.

Use Simulink® to model a hydraulic cylinder. You can apply these concepts to applications where you need to model hydraulic behavior. See two related examples that use the same basic components: four cylinder model and two cylinder model with load constraints.

Use Simulink® to create the thermal model of a house. This system models the outdoor environment, the thermal characteristics of the house, and the house heating system.

Approximate nonlinear relationships of a type S thermocouple.

이 예제에서는 임베디드 시스템 및 임의 파형 생성 기기의 디지털 파형 합성 응용 사례에서 사용하기 위해 사인파 데이터 테이블을 설계하고 그 값을 계산하는 데 필요한 몇 가지 기본 단계를 보여줍니다.

이 예제에서는 Simulink®에서 영점교차가 어떻게 작동하는지 보여줍니다. 이 모델에서는 3개의 변위된 사인파가 Absolute Value 블록과 Saturation 블록에 입력됩니다. 정확히 t = 5에서 Switch 블록의 출력이 Absolute Value 블록에서 Saturation 블록으로 변경됩니다. Simulink의 영점교차는 Switch 블록이 출력을 변경하는 정확한 시점을 자동으로 감지하고 솔버는 이 이벤트가 발생한 정확한 시간으로 스텝을 이동합니다. 스코프에서 출력을 검토하여 이러한 동작을 확인할 수 있습니다.

This model was inspired by the classic paper "Galactic Bridges and Tails" (Toomre & Toomre 1972). The original paper explained how disc shaped galaxies could develop spiral arms. Two disc shape galaxies originally are far apart. They then fly by each other and almost collide. Once the galaxies are close enough, mutual gravitational forces cause spiral arms to form.

The contrast between enabled subsystems and triggered subsystems for the same control signal, through the use of counter circuits. After running the simulation, the scope shows three plots.

Model friction one way in Simulink®. The two integrators in the model calculate the velocity and position of the system, which is then used in the Friction Model to calculate the friction force.

Handle state events. Run the simulation and see the phase plane plot, where the state x1 is along the X-axis and the state x2 is along the Y-axis.

Use Stateflow® to model a bang-bang temperature control system for a boiler. The boiler dynamics are modeled in Simulink®.

이 예제에서는 역진자를 모델링하는 방법을 보여줍니다. 애니메이션은 MATLAB® Handle Graphics®를 사용하여 만들어집니다. Animation 블록은 마스크 처리된 S-Function입니다. 자세한 내용을 보려면 상황별 메뉴를 사용하여 Animation 블록의 마스크 아래에서 편집을 위해 S-Function을 여십시오.

Model a double spring-mass-damper system with a periodically varying forcing function. Associated with the example is an animation function that will automatically open a figure window and display to it. In this system, the only sensor is attached to the mass on the left, and the actuator is attached to the mass on the left. State estimation and LQR control are used.

Model the dynamics of liquid in a tank. The associated animation provides a graphical display of the tank as it empties and refills, based on user-defined tank parameters. The tank empties at the start of the simulation and again part way through the simulation. When the simulation is stopped, a plot is generated showing the liquid height and the states of the two valves.

Two cases where you can use Simulink® to model variable transport delay phenomena.

Model a Foucault pendulum. The Foucault pendulum was the brainchild of the French physicist Leon Foucault. It was intended to prove that Earth rotates around its axis. The oscillation plane of a Foucault pendulum rotates throughout the day as a result of axial rotation of the Earth. The plane of oscillation completes a whole circle in a time interval T, which depends on the geographical latitude.

Solve the differential equations for the Foucault Pendulum problem and displays the pendulum bob movement in the VRML scene. You can modify the Pendulum location by changing the Latitude / Longitude constant values in the model and other parameters (g, Omega, L and initial conditions) in MATLAB® workspace.

이 예제에서는 푸코의 진자(Foucault pendulum) 모델에서 가변 스텝 솔버가 어떻게 동작하는지 보여줍니다. Simulink® 솔버 ode45, ode15s, ode23, ode23t를 테스트 케이스로 사용합니다. 이 문제의 해를 구하는 데는 경직성 미분 방정식이 사용됩니다. 방정식의 경직성에 관한 정확한 정의는 없습니다. 일부 수치적 방법은 경직성 방정식의 해를 구하는 데 사용하기에 불안정하며 경직성 문제에 대해 수치적으로 안정된 해를 구하기 위해서는 아주 작은 스텝 크기가 필요합니다. 경직성 문제는 빠르게 변하는 성분을 가질 수도 있고 느리게 변하는 성분을 가질 수도 있습니다.

The example shows how to use Simulink® to explore the solver Jacobian sparsity pattern, and the connection between the solver Jacobian sparsity pattern and the dependency between components of a physical system. A Simulink model that models the synchronization of three metronomes placed on a free moving base are used.

Choose the correct zero-crossing location algorithm, based on the system dynamics. For Zeno dynamic systems, or systems with strong chattering, you can select the adaptive zero-crossing detection algorithm through the Configure pane:

Use Simulink® to create a model with four hydraulic cylinders. See two related examples that use the same basic components: single cylinder model and model with two cylinders and load constraints.

Model a rigid rod supporting a large mass interconnecting two hydraulic actuators. The model eliminates the springs as it applies the piston forces directly to the load. These forces balance the gravitational force and result in both linear and rotational displacement.

Model transport delay in a variable speed conveyor belt.