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Mode Technique, Bound Theorems, and Applicability of the Rigid‐Perfectly Plastic Model
This chapter discusses typical feature of impulsively loaded rigid‐plastic structures, the dynamic response that can be clearly divided into two phases: a transient phase characterized by the presence of traveling plastic hinge(s), and a subsequent modal phase, in which the hinge positions remain stationary. The simplicity forms the basis of an approximate method of solving impulsive loading problems called the mode technique. Based on the understanding of the mode technique, several bound theorems of the structural dynamic response are introduced, so as to estimate the upper and lower bounds of the final displacement and also the total response time. Therefore, although the two approximation methods, i.e., the modal solution and the bound theorem estimations, have less accuracy than the complete solution, they are simpler and are useful if only the final displacement is of interest. This chapter also looks at the method of determining the initial velocity in the modal solution.
Mode Technique, Bound Theorems, and Applicability of the Rigid‐Perfectly Plastic Model
This chapter discusses typical feature of impulsively loaded rigid‐plastic structures, the dynamic response that can be clearly divided into two phases: a transient phase characterized by the presence of traveling plastic hinge(s), and a subsequent modal phase, in which the hinge positions remain stationary. The simplicity forms the basis of an approximate method of solving impulsive loading problems called the mode technique. Based on the understanding of the mode technique, several bound theorems of the structural dynamic response are introduced, so as to estimate the upper and lower bounds of the final displacement and also the total response time. Therefore, although the two approximation methods, i.e., the modal solution and the bound theorem estimations, have less accuracy than the complete solution, they are simpler and are useful if only the final displacement is of interest. This chapter also looks at the method of determining the initial velocity in the modal solution.
Mode Technique, Bound Theorems, and Applicability of the Rigid‐Perfectly Plastic Model
Yu, T.X. (author) / Qiu, XinMing (author)
Introduction to Impact Dynamics ; 169-186
2018-01-08
18 pages
Article/Chapter (Book)
Electronic Resource
English
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