Download e-book for kindle: Basic Structural Dynamics by James C. Anderson, Farzad Naeim

By James C. Anderson, Farzad Naeim

ISBN-10: 0470879394

ISBN-13: 9780470879399

This booklet is meant as a easy advent to the subject of structural dynamics for undergraduate civil and structural engineering scholars. overlaying unmarried and a number of measure of freedom structures whereas supplying an advent to earthquake engineering, this publication retains the insurance succinct and on subject at a degree applicable for non-specialist undergraduate and graduate scholars. via dozens of labored examples in response to genuine buildings, it additionally introduce the scholars to NONLIN, a matrix research software program package deal.

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Naeim, The Seismic Design Handbook , 2nd ed. 7 Possible deflected shapes based on aspect ratio (F. Naeim, The Seismic Design Handbook , 2nd ed. ) used. However, any shape other than the true vibration shape requires the addition of external constraints to maintain equilibrium. These extra constraints tend to stiffen the system and thereby increase the computed frequency. The true vibration shape will have no external constraints and therefore will have the lowest frequency of vibration. When choosing between several approximate deflected shapes, the one producing the lowest frequency is always the best approximation.

Check your result using virtual work and the generalized-coordinate approach. 17, determine the generalized physical properties, m ∗ , c ∗ , and k ∗ , and the generalized loading, p ∗ (t), in terms of the generalized coordinate, Z (t). Write the equation of motion in terms of these generalized properties. 18 in terms of the rotation coordinate, θ . All springs and dampers are weightless, and all displacements are small. The bar AE is rigid and has a total mass of M . 19). Using the generalized-coordinate approach, derive the equation of motion for the system taking into account the following two shape functions: x L πx b.

7. 8. 17) must be used to determine the displacements in the structure, and these, in turn, can be used to determine the forces in the individual structural elements. 6 Generalized SDOF discretization (F. Naeim, The Seismic Design Handbook , 2nd ed. 7 Possible deflected shapes based on aspect ratio (F. Naeim, The Seismic Design Handbook , 2nd ed. ) used. However, any shape other than the true vibration shape requires the addition of external constraints to maintain equilibrium. These extra constraints tend to stiffen the system and thereby increase the computed frequency.

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Basic Structural Dynamics by James C. Anderson, Farzad Naeim


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