Question

In the context of mechanical vibrations, static coupling refers to

• A. Interaction between different degrees of freedom due to mass and inertia
• B. Interaction between different degrees of freedom due to damping only
• C. Interaction between different degrees of freedom due to stiffness, independent of motion
• D. Interaction that occurs only during dynamic motion

Hint:

In multi-degree-of-freedom systems, \[ \boxed{ \begin{aligned} \text{Static Coupling} &\rightarrow \text{Stiffness Matrix} \text{Dynamic Coupling} &\rightarrow \text{Mass Matrix} \end{aligned} } \]

Answer 1

The Correct Option is C

Step 1: Recall the meaning of static coupling. Static coupling exists when the displacement of one degree of freedom influences another through the stiffness of the system.

Step 2: Identify the correct statement. Since the coupling arises from the stiffness matrix and is independent of motion, \[ \boxed{ \text{Static coupling is interaction between different degrees of freedom due to stiffness.} } \] Therefore, \[ \boxed{\text{Interaction between different degrees of freedom due to stiffness, independent of motion}} \] is the correct answer. Thus, \[ \boxed{(C)} \] is the correct answer.