Curve and surface veering for a braced column

Curve veering arises naturally in a wide variety of eigenvalue problems in structural mechanics, such as vibration of beams, rotors, plates and shells, and buckling of columns and plates. Previous work on curve veering is extended with the consideration of more than one eigenvalue parameter. Both vibrations and buckling are included in a problem of a pinned column with a brace that is at or near the center. An exact solution of the continuous problem is obtained. For a fixed position of the brace, the parameters are the vibration frequencies, the buckling loads, and the stiffness of the brace. Curve veering is observed in the planes formed by fixing the value of one of these parameters and letting the other two vary, and surface veering is studied in the space of the three parameters

Duke Scholars

Author Lawrence N. Virgin Thomas Lord Department of Mechanical Engineering and Materia ...