That implies a high degree of intelligence and anthropomorphism is not a useful approach.aldo sebastian said:will it want
And ideally there need be no transfer of energy from one mode to the other. A combination of both modes (say you start just one pendulum off on its own) will result in the classic situation with each pendulum going from maximum amplitude to near zero and back again as the result of the presence of the two modes.BvU said:Second centaur
Simple example: coupled pendula
swing both same way excites one mode,
swing in opposite ways excites the other
Eigenfrequencies refer to the natural frequencies at which a multiple degree of freedom (DOF) system vibrates when it is disturbed from its equilibrium position. These frequencies are characteristic of the system and depend on its mass, stiffness, and damping properties.
The eigenfrequencies of a multiple DOF system can be calculated by solving the eigenvalue problem, which involves finding the roots of the characteristic equation. This equation is derived from the system's equations of motion and represents the relationship between the system's natural frequencies and its mass, stiffness, and damping coefficients.
Eigenfrequencies play a crucial role in the study of structural dynamics as they determine the dynamic behavior of a system. Knowing the eigenfrequencies allows engineers to predict how a structure will respond to external forces or disturbances, and to design structures that can withstand these forces without experiencing excessive vibrations or failure.
The eigenfrequencies of a multiple DOF system can affect its stability by either increasing or decreasing it. If the eigenfrequencies are close to each other, the system can experience resonance, which can lead to excessive vibrations and potential instability. On the other hand, if the eigenfrequencies are well separated, the system is more stable and less prone to resonance.
Yes, the eigenfrequencies of a multiple DOF system can be altered by changing its mass, stiffness, or damping properties. For example, increasing the stiffness of a structure can increase its natural frequencies, while adding damping can decrease them. Altering the mass distribution of the system can also affect its eigenfrequencies.