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Nonlinear Mechanical Characters of Shallow Reticulated Spherical Shells with Initial Damage
Based on theory of Lematire’s equivalent strain of the damage and with the damage of bars of the shallow reticulated spherical shell, on the basis of the nonlinear dynamical foundational equations and introducing dimensionless quantity of shells with uniform thickness, the nonlinear dynamic equation of the shallow spherical shells with initial damage were established by the method of quasi-shells. Then, the critical conditions of that chaos motion of the structure with initial damage are given by the Melnikov function. Finally, further using the digital simulation plotted the plane phase and it approved existence of the chaotic motion. It is found that the natural frequency of shallow reticulated spherical shells considering initial damage becomes bigger and the critical value of chaotic motion is smaller.
Nonlinear Mechanical Characters of Shallow Reticulated Spherical Shells with Initial Damage
Based on theory of Lematire’s equivalent strain of the damage and with the damage of bars of the shallow reticulated spherical shell, on the basis of the nonlinear dynamical foundational equations and introducing dimensionless quantity of shells with uniform thickness, the nonlinear dynamic equation of the shallow spherical shells with initial damage were established by the method of quasi-shells. Then, the critical conditions of that chaos motion of the structure with initial damage are given by the Melnikov function. Finally, further using the digital simulation plotted the plane phase and it approved existence of the chaotic motion. It is found that the natural frequency of shallow reticulated spherical shells considering initial damage becomes bigger and the critical value of chaotic motion is smaller.
Nonlinear Mechanical Characters of Shallow Reticulated Spherical Shells with Initial Damage
Li, Lei (author) / Hao, Ji-Ping (author) / Huang, Yi (author)
2012
4 Seiten
Conference paper
English
Nonlinear Mechanical Characters of Shallow Reticulated Spherical Shells with Initial Damage
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