Structural Dynamics: Theory and Computationsolution, are provided for calculation of the responses to forces or motions exciting the structure. The new chapters in earthquake-resistant design of buildings describe the provisions of both the 1985 and 1988 versions of the UBC (Uniform Building Code) for the static lateral force method and for the dynamic lateral force method. Other revisions of the book include the presentation of the New mark beta method to obtain the time history response of dynamic systems, and the direct integration method in which the response is found assuming that the excitation function is linear for a specified time interval. A modifi cation of the dynamic condensation method, which has been developed re cently by the author for the reduction of eigenproblems, is presented in Chap ter 13. The proposed modification substantially reduces the numerical operation required in the implementation of the dynamic condensation method. The subjects in this new edition are organized in six parts. Part I deals with structures modeled as single degree-of-freedom systems. It introduces basic concepts and presents important methods for the solution of such dynamic systems. Part II introduces important concepts and methodology for multi degree-of-freedom systems through the use of structures modeled as shear buildings. Part III describes methods for the dynamic analysis of framed struc tures modeled as discrete systems with many degrees of freedom. |
Contents
3 | |
DAMPED SINGLE DEGREEOFFREEDOM SYSTEM | 23 |
RESPONSE OF ONEDEGREEOFFREEDOM SYSTEM | 36 |
RESPONSE TO GENERAL DYNAMIC LOADING | 63 |
FOURIER ANALYSIS AND RESPONSE IN THE FREQUENCY | 95 |
GENERALIZED COORDINATES AND RAYLEIGHS METHOD | 116 |
NONLINEAR STRUCTURAL RESPONSE | 149 |
RESPONSE SPECTRA | 170 |
TIME HISTORY RESPONSE OF MULTIDEGREEOFFREEDOM | 413 |
Program 19Response by Step Integration | 422 |
8 | 428 |
DYNAMIC ANALYSIS OF SYSTEMS WITH DISTRIBUTED | 437 |
DISCRETIZATION OF CONTINUOUS SYSTEMS | 462 |
5 | 472 |
RANDOM VIBRATION | 479 |
23 | 511 |
THE MULTISTORY SHEAR BUILDING | 201 |
FREE VIBRATION OF A SHEAR BUILDING | 213 |
FORCED MOTION OF SHEAR BUILDINGS | 230 |
DAMPED MOTION OF SHEAR BUILDINGS | 259 |
REDUCTION OF DYNAMIC MATRICES | 273 |
FRAMED STRUCTURES MODELED AS DISCRETE | 304 |
15 | 327 |
DYNAMIC ANALYSIS OF GRIDS | 364 |
UNIFORM | 537 |
Distribution of Lateral Forces | 550 |
UNIFORM BULDING CODE1988 | 568 |
ANSWERS TO PROBLEMS IN PART I | 593 |
COMPUTER PROGRAMS | 601 |
GLOSSARY | 609 |
617 | |
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Common terms and phrases
acceleration amplitude assumed axial beam element beam segment calculated chapter consistent mass constant corresponding critical damping damping coefficient damping matrix damping ratio deflection degrees of freedom Determine differential equation displacement Duhamel's integral earthquake eigenvectors elastic elastoplastic equation of motion Example excitation factor flexural Fourier Fourier series free body diagram function given by eq harmonic incremental INPUT DATA integration k₁ k₂ lateral forces lb/in linear load m₁ mass matrix maximum method modal shapes natural frequencies natural period Neglect damping nodal coordinates normal modes obtained P₁ P₂ rad/sec Rayleigh's response spectra response spectrum sec²/in seismic shear building shown in Fig single degree-of-freedom system solution Solve spectral steady-state steady-state response stiffness and mass stiffness coefficient stiffness equation stiffness matrix structure substitution system stiffness T₁ Table torsional transformation truss undamped values velocity virtual displacement w₁ Y₁ Y₂ zero ΕΙ