What do Denavit–Hartenberg parameters describe in a serial robot manipulator?

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Multiple Choice

What do Denavit–Hartenberg parameters describe in a serial robot manipulator?

Explanation:
The main idea being tested is how we describe the relative motion between consecutive parts of a serial robot using a compact set of numbers. Denavit–Hartenberg parameters provide four numbers for each joint that define the transform from frame i-1 to frame i. These four parameters—link length (a_i), link twist (alpha_i), link offset (d_i), and joint angle (theta_i)—fully specify the homogeneous transformation that carries coordinates from the previous frame to the next. In the common convention, this transformation is obtained by multiplying rotations and translations in a specific order, yielding the pose of the next frame in terms of the current joint variable. This framework allows you to chain these per-joint transforms to compute the end-effector position and orientation for any given set of joint angles (or displacements). It’s a kinematic description, not a map of forces, torques, or velocity profiles.

The main idea being tested is how we describe the relative motion between consecutive parts of a serial robot using a compact set of numbers. Denavit–Hartenberg parameters provide four numbers for each joint that define the transform from frame i-1 to frame i. These four parameters—link length (a_i), link twist (alpha_i), link offset (d_i), and joint angle (theta_i)—fully specify the homogeneous transformation that carries coordinates from the previous frame to the next. In the common convention, this transformation is obtained by multiplying rotations and translations in a specific order, yielding the pose of the next frame in terms of the current joint variable. This framework allows you to chain these per-joint transforms to compute the end-effector position and orientation for any given set of joint angles (or displacements). It’s a kinematic description, not a map of forces, torques, or velocity profiles.

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