Explanation:

Double slider crank chain is a mechanism that is used in many engineering applications. It consists of two sliding pairs and two turning pairs. The motion of the mechanism is governed by the geometry of the links that connect the pairs. Any point on a link connecting double slider crank chain will trace an ellipse. This can be explained by understanding the kinematics of the mechanism.

Kinematics of Double Slider Crank Chain:

The kinematics of the double slider crank chain can be explained by considering the motion of the links that connect the pairs. The links are connected in such a way that they form a closed loop. This loop is known as the kinematic chain. The motion of the links is governed by the geometry of the mechanism.

The motion of the mechanism can be described using the following parameters:

1. Crank length: The length of the link that is connected to the crank.

2. Connecting rod length: The length of the link that connects the crank to the slider.

3. Slider length: The length of the link that is connected to the slider.

4. Crank angle: The angle between the crank and the horizontal.

5. Slider position: The position of the slider along the slider link.

The motion of the mechanism can be described using the above parameters. The motion of the slider is governed by the motion of the crank. The motion of the crank is a circular motion. The motion of the slider is a combination of linear and circular motion.

Ellipse as the trajectory of a point on the link:

Any point on a link connecting double slider crank chain will trace an ellipse. This can be explained by understanding the motion of the mechanism. The motion of the slider is a combination of linear and circular motion. The motion of the crank is a circular motion. The combination of these motions results in an elliptical motion of any point on the link.

Conclusion:

Double slider crank chain is a mechanism that is used in many engineering applications. Any point on a link connecting double slider crank chain will trace an ellipse. This can be explained by understanding the kinematics of the mechanism. The motion of the mechanism is governed by the geometry of the links that connect the pairs. The elliptical motion of any point on the link is a combination of linear and circular motion.

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