As equations of motion of a circular arc, equation (1) and (2) are often used. Substituting U=-ω^2U and V=_-ω2V.equations (3) and (4) are obtained. Multiplying equations (3) and (4) by u and v respectively and integrating along the arc, equations (6) and (7) are obtained. Adding these equations (6) and (7), energy equation (8) is given. When the boundary is free or clamped, the terms for the boundary disappear and the equation (8) becomes (11). The left side of the equation (11) means kinetic energy. The firat term of the right side means strain energy of extension and the second term that of bending. But the meaning of the third term is not clear. By investigating the equation of motion, this question is made clear.
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