## Structural Dynamics: Theory and ComputationThe use of COSMOS for the analysis and solution of structural dynamics problems is introduced in this new edition. The COSMOS program was selected from among the various professional programs available because it has the capability of solving complex problems in structures, as well as in other engin eering fields such as Heat Transfer, Fluid Flow, and Electromagnetic Phenom ena. COSMOS includes routines for Structural Analysis, Static, or Dynamics with linear or nonlinear behavior (material nonlinearity or large displacements), and can be used most efficiently in the microcomputer. The larger version of COSMOS has the capacity for the analysis of structures modeled up to 64,000 nodes. This fourth edition uses an introductory version that has a capability limited to 50 nodes or 50 elements. This version is included in the supplement, STRUCTURAL DYNAMICS USING COSMOS 1. The sets of educational programs in Structural Dynamics and Earthquake Engineering that accompanied the third edition have now been extended and updated. These sets include programs to determine the response in the time or frequency domain using the FFf (Fast Fourier Transform) of structures modeled as a single oscillator. Also included is a program to determine the response of an inelastic system with elastoplastic behavior and a program for the development of seismic response spectral charts. A set of seven computer programs is included for modeling structures as two-dimensional and three dimensional frames and trusses. |

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nice elaboration of structural dynamics, a student and teacher's companion.

a must read book for earthquake engineers.

rishikesh , CUSAT, KOCHI.http://e-civil4cusat.blogspot.com/

### Contents

DAMPED SINGLEDEGREEOFFREEDOM SYSTEM | 31 |

RESPONSE OF ONEDEGREEOFFREEDOM SYSTEM | 47 |

RESPONSE TO GENERAL DYNAMIC LOADING | 96 |

FOURIER ANALYSIS AND RESPONSE | 139 |

GENERALIZED COORDINATES AND RAYLEIGHS METHOD | 162 |

NONLINEAR STRUCTURAL RESPONSE | 205 |

RESPONSE SPECTRA | 233 |

STRUCTURES MODELED AS SHEAR BUILDINGS | 271 |

DYNAMIC ANALYSIS OF TRUSSES | 511 |

DYNAMIC ANALYSIS OF STRUCTURES USING THE FINITE ELEMENT | 538 |

2D Elements | 552 |

TIME HISTORY RESPONSE OF MULTIDEGREEOFFREEDOM | 577 |

DYNAMIC ANALYSIS OF SYSTEMS WITH DISTRIBUTED PROPERTIES | 609 |

DISCRETIZATION OF CONTINUOUS SYSTEMS | 635 |

RANDOM VIBRATION | 653 |

EQUIVALENT STATIC LATERAL | 707 |

FREE VIBRATION OF A SHEAR BUILDING | 287 |

FORCED MOTION OF SHEAR BUILDING | 310 |

DAMPED MOTION OF SHEAR BUILDINGS | 352 |

REDUCTION OF DYNAMIC MATRICES | 366 |

STRUCTURES MODELED AS DISCRETE | 397 |

DYNAMIC ANALYSIS OF PLANE FRAMES | 442 |

DYNAMIC ANALYSIS OF GRIDS | 469 |

THREEDIMENSIONAL FRAMES | 491 |

25 | 765 |

Answers to Problems in Part 1791 | 791 |

Computer Programs | 801 |

Glossary | 807 |

815 | |

Diskette Order Form 825 | |

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### Common terms and phrases

acceleration ACTSET ACTXYPOST amplitude applied assumed axial axis base shear beam element beam segment calculated Chapter columns condensation consistent mass corresponding critical damping curve damping coefficient damping matrix damping ratio Define deflection degrees of freedom differential equation Duhamel's integral dynamic analysis earthquake EGROUP eigenvectors elastic elastoplastic equation of motion Example excitation factor flexural Fourier Fourier series free body diagram given by eq grid harmonic incremental Input Data integration lateral forces linear load M_CR mass matrix maximum MESHING method modal shapes natural frequencies Neglect damping nodal coordinates nodal forces node normal modes O.OOOOEtOO obtained Output Results plot POST_DYN Problem PROPSETS rad/sec random RCONST response spectra response spectrum rotation seismic shear building shear force shown in Fig single-degree-of-freedom system Solve spectral density static steady-state steady-state response stiffness and mass stiffness coefficient substitution Table torsional transformation truss undamped vector velocity virtual displacement XY_PLOTS zero