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5. Mechanical Vibration Analysis Uncertainties and Control
Third Edition Benaroya Digital Instant Download
Author(s): Benaroya, Haym; Nagurka, Mark L
ISBN(s): 9781420080575, 1420080571
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Year: 2010
Language: english

7. Mechanical Vibration
Analysis, Uncertainties, and Control
THIRD EDITION

8. MECHANICAL ENGINEERING
A Series of Textbooks and Reference Books
Founding Editor
L. L. Faulkner
Columbus Division, Battelle Memorial Institute
and Department of Mechanical Engineering
The Ohio State University
Columbus, Ohio
1. Spring Designer’s Handbook, Harold Carlson
2. Computer-Aided Graphics and Design, Daniel L. Ryan
3. Lubrication Fundamentals, J. George Wills
4. Solar Engineering for Domestic Buildings, William A. Himmelman
5. Applied Engineering Mechanics: Statics and Dynamics, G. Boothroyd
and C. Poli
6. Centrifugal Pump Clinic, Igor J. Karassik
7. Computer-Aided Kinetics for Machine Design, Daniel L. Ryan
8. Plastics Products Design Handbook, Part A: Materials and Components;
Part B: Processes and Design for Processes, edited by Edward Miller
9. Turbomachinery: Basic Theory and Applications, Earl Logan, Jr.
10. Vibrations of Shells and Plates, Werner Soedel
11. Flat and Corrugated Diaphragm Design Handbook, Mario Di Giovanni
12. Practical Stress Analysis in Engineering Design, Alexander Blake
13. An Introduction to the Design and Behavior of Bolted Joints,
John H. Bickford
14. Optimal Engineering Design: Principles and Applications,
James N. Siddall
15. Spring Manufacturing Handbook, Harold Carlson
16. Industrial Noise Control: Fundamentals and Applications, edited by
Lewis H. Bell
17. Gears and Their Vibration: A Basic Approach to Understanding Gear
Noise, J. Derek Smith
18. Chains for Power Transmission and Material Handling: Design
and Applications Handbook, American Chain Association
19. Corrosion and Corrosion Protection Handbook, edited by
Philip A. Schweitzer
20. Gear Drive Systems: Design and Application, Peter Lynwander
21. Controlling In-Plant Airborne Contaminants: Systems Design
and Calculations, John D. Constance
22. CAD/CAM Systems Planning and Implementation, Charles S. Knox
23. Probabilistic Engineering Design: Principles and Applications,
James N. Siddall
24. Traction Drives: Selection and Application, Frederick W. Heilich III
and Eugene E. Shube

9. 25. Finite Element Methods: An Introduction, Ronald L. Huston
and Chris E. Passerello
26. Mechanical Fastening of Plastics: An Engineering Handbook,
Brayton Lincoln, Kenneth J. Gomes, and James F. Braden
27. Lubrication in Practice: Second Edition, edited by W. S. Robertson
28. Principles of Automated Drafting, Daniel L. Ryan
29. Practical Seal Design, edited by Leonard J. Martini
30. Engineering Documentation for CAD/CAM Applications,
Charles S. Knox
31. Design Dimensioning with Computer Graphics Applications,
Jerome C. Lange
32. Mechanism Analysis: Simplified Graphical and Analytical Techniques,
Lyndon O. Barton
33. CAD/CAM Systems: Justification, Implementation, Productivity Measure-
ment, Edward J. Preston, George W. Crawford,
and Mark E. Coticchia
34. Steam Plant Calculations Manual, V. Ganapathy
35. Design Assurance for Engineers and Managers, John A. Burgess
36. Heat Transfer Fluids and Systems for Process and Energy Applications,
Jasbir Singh
37. Potential Flows: Computer Graphic Solutions, Robert H. Kirchhoff
38. Computer-Aided Graphics and Design: Second Edition, Daniel L. Ryan
39. Electronically Controlled Proportional Valves: Selection and Application,
Michael J. Tonyan, edited by Tobi Goldoftas
40. Pressure Gauge Handbook, AMETEK, U.S. Gauge Division, edited by
Philip W. Harland
41. Fabric Filtration for Combustion Sources: Fundamentals and Basic Tech-
nology, R. P. Donovan
42. Design of Mechanical Joints, Alexander Blake
43. CAD/CAM Dictionary, Edward J. Preston, George W. Crawford,
and Mark E. Coticchia
44. Machinery Adhesives for Locking, Retaining, and Sealing,
Girard S. Haviland
45. Couplings and Joints: Design, Selection, and Application,
Jon R. Mancuso
46. Shaft Alignment Handbook, John Piotrowski
47. BASIC Programs for Steam Plant Engineers: Boilers, Combustion,
Fluid Flow, and Heat Transfer, V. Ganapathy
48. Solving Mechanical Design Problems with Computer Graphics,
Jerome C. Lange
49. Plastics Gearing: Selection and Application, Clifford E. Adams
50. Clutches and Brakes: Design and Selection, William C. Orthwein
51. Transducers in Mechanical and Electronic Design, Harry L. Trietley
52. Metallurgical Applications of Shock-Wave and High-Strain-Rate
Phenomena, edited by Lawrence E. Murr, Karl P. Staudhammer,
and Marc A. Meyers
53. Magnesium Products Design, Robert S. Busk
54. How to Integrate CAD/CAM Systems: Management and Technology,
William D. Engelke
55. Cam Design and Manufacture: Second Edition; with cam design
software for the IBM PC and compatibles, disk included,
Preben W. Jensen

10. 56. Solid-State AC Motor Controls: Selection and Application,
Sylvester Campbell
57. Fundamentals of Robotics, David D. Ardayfio
58. Belt Selection and Application for Engineers, edited by
Wallace D. Erickson
59. Developing Three-Dimensional CAD Software with the IBM PC,
C. Stan Wei
60. Organizing Data for CIM Applications, Charles S. Knox, with
contributions by Thomas C. Boos, Ross S. Culverhouse,
and Paul F. Muchnicki
61. Computer-Aided Simulation in Railway Dynamics, by Rao V. Dukkipati
and Joseph R. Amyot
62. Fiber-Reinforced Composites: Materials, Manufacturing, and Design,
P. K. Mallick
63. Photoelectric Sensors and Controls: Selection and Application,
Scott M. Juds
64. Finite Element Analysis with Personal Computers,
Edward R. Champion, Jr. and J. Michael Ensminger
65. Ultrasonics: Fundamentals, Technology, Applications: Second Edition,
Revised and Expanded, Dale Ensminger
66. Applied Finite Element Modeling: Practical Problem Solving for
Engineers, Jeffrey M. Steele
67. Measurement and Instrumentation in Engineering: Principles and Basic
Laboratory Experiments, Francis S. Tse and Ivan E. Morse
68. Centrifugal Pump Clinic: Second Edition, Revised and Expanded,
Igor J. Karassik
69. Practical Stress Analysis in Engineering Design: Second Edition, Revised
and Expanded, Alexander Blake
70. An Introduction to the Design and Behavior of Bolted Joints:
Second Edition, Revised and Expanded, John H. Bickford
71. High Vacuum Technology: A Practical Guide, Marsbed H. Hablanian
72. Pressure Sensors: Selection and Application, Duane Tandeske
73. Zinc Handbook: Properties, Processing, and Use in Design,
Frank Porter
74. Thermal Fatigue of Metals, Andrzej Weronski and Tadeusz Hejwowski
75. Classical and Modern Mechanisms for Engineers and Inventors,
Preben W. Jensen
76. Handbook of Electronic Package Design, edited by Michael Pecht
77. Shock-Wave and High-Strain-Rate Phenomena in Materials, edited by
Marc A. Meyers, Lawrence E. Murr, and Karl P. Staudhammer
78. Industrial Refrigeration: Principles, Design and Applications,
P. C. Koelet
79. Applied Combustion, Eugene L. Keating
80. Engine Oils and Automotive Lubrication, edited by Wilfried J. Bartz
81. Mechanism Analysis: Simplified and Graphical Techniques,
Second Edition, Revised and Expanded, Lyndon O. Barton
82. Fundamental Fluid Mechanics for the Practicing Engineer,
James W. Murdock
83. Fiber-Reinforced Composites: Materials, Manufacturing, and Design,
Second Edition, Revised and Expanded, P. K. Mallick
84. Numerical Methods for Engineering Applications,
Edward R. Champion, Jr.

11. 85. Turbomachinery: Basic Theory and Applications, Second Edition,
Revised and Expanded, Earl Logan, Jr.
86. Vibrations of Shells and Plates: Second Edition, Revised and Expanded,
Werner Soedel
87. Steam Plant Calculations Manual: Second Edition,
Revised and Expanded, V. Ganapathy
88. Industrial Noise Control: Fundamentals and Applications,
Second Edition, Revised and Expanded, Lewis H. Bell
and Douglas H. Bell
89. Finite Elements: Their Design and Performance, Richard H. MacNeal
90. Mechanical Properties of Polymers and Composites: Second Edition,
Revised and Expanded, Lawrence E. Nielsen and Robert F. Landel
91. Mechanical Wear Prediction and Prevention, Raymond G. Bayer
92. Mechanical Power Transmission Components, edited by
David W. South and Jon R. Mancuso
93. Handbook of Turbomachinery, edited by Earl Logan, Jr.
94. Engineering Documentation Control Practices and Procedures,
Ray E. Monahan
95. Refractory Linings Thermomechanical Design and Applications,
Charles A. Schacht
96. Geometric Dimensioning and Tolerancing: Applications and Techniques
for Use in Design, Manufacturing, and Inspection, James D. Meadows
97. An Introduction to the Design and Behavior of Bolted Joints:
Third Edition, Revised and Expanded, John H. Bickford
98. Shaft Alignment Handbook: Second Edition, Revised and Expanded,
John Piotrowski
99. Computer-Aided Design of Polymer-Matrix Composite Structures, edited
by Suong Van Hoa
100. Friction Science and Technology, Peter J. Blau
101. Introduction to Plastics and Composites: Mechanical Properties
and Engineering Applications, Edward Miller
102. Practical Fracture Mechanics in Design, Alexander Blake
103. Pump Characteristics and Applications, Michael W. Volk
104. Optical Principles and Technology for Engineers, James E. Stewart
105. Optimizing the Shape of Mechanical Elements and Structures,
A. A. Seireg and Jorge Rodriguez
106. Kinematics and Dynamics of Machinery, Vladimír Stejskal
and Michael Valásek
107. Shaft Seals for Dynamic Applications, Les Horve
108. Reliability-Based Mechanical Design, edited by Thomas A. Cruse
109. Mechanical Fastening, Joining, and Assembly, James A. Speck
110. Turbomachinery Fluid Dynamics and Heat Transfer, edited by
Chunill Hah
111. High-Vacuum Technology: A Practical Guide, Second Edition,
Revised and Expanded, Marsbed H. Hablanian
112. Geometric Dimensioning and Tolerancing: Workbook and Answerbook,
James D. Meadows
113. Handbook of Materials Selection for Engineering Applications,
edited by G. T. Murray
114. Handbook of Thermoplastic Piping System Design, Thomas Sixsmith
and Reinhard Hanselka

12. 115. Practical Guide to Finite Elements: A Solid Mechanics Approach, Steven
M. Lepi
116. Applied Computational Fluid Dynamics, edited by Vijay K. Garg
117. Fluid Sealing Technology, Heinz K. Muller and Bernard S. Nau
118. Friction and Lubrication in Mechanical Design, A. A. Seireg
119. Influence Functions and Matrices, Yuri A. Melnikov
120. Mechanical Analysis of Electronic Packaging Systems,
Stephen A. McKeown
121. Couplings and Joints: Design, Selection, and Application,
Second Edition, Revised and Expanded, Jon R. Mancuso
122. Thermodynamics: Processes and Applications, Earl Logan, Jr.
123. Gear Noise and Vibration, J. Derek Smith
124. Practical Fluid Mechanics for Engineering Applications,
John J. Bloomer
125. Handbook of Hydraulic Fluid Technology, edited by George E. Totten
126. Heat Exchanger Design Handbook, T. Kuppan
127. Designing for Product Sound Quality, Richard H. Lyon
128. Probability Applications in Mechanical Design, Franklin E. Fisher
and Joy R. Fisher
129. Nickel Alloys, edited by Ulrich Heubner
130. Rotating Machinery Vibration: Problem Analysis and Troubleshooting,
Maurice L. Adams, Jr.
131. Formulas for Dynamic Analysis, Ronald L. Huston and C. Q. Liu
132. Handbook of Machinery Dynamics, Lynn L. Faulkner and Earl Logan, Jr.
133. Rapid Prototyping Technology: Selection and Application,
Kenneth G. Cooper
134. Reciprocating Machinery Dynamics: Design and Analysis,
Abdulla S. Rangwala
135. Maintenance Excellence: Optimizing Equipment Life-Cycle Decisions,
edited by John D. Campbell and Andrew K. S. Jardine
136. Practical Guide to Industrial Boiler Systems, Ralph L. Vandagriff
137. Lubrication Fundamentals: Second Edition, Revised and Expanded,
D. M. Pirro and A. A. Wessol
138. Mechanical Life Cycle Handbook: Good Environmental Design
and Manufacturing, edited by Mahendra S. Hundal
139. Micromachining of Engineering Materials, edited by Joseph McGeough
140. Control Strategies for Dynamic Systems: Design and Implementation,
John H. Lumkes, Jr.
141. Practical Guide to Pressure Vessel Manufacturing, Sunil Pullarcot
142. Nondestructive Evaluation: Theory, Techniques, and Applications, edited
by Peter J. Shull
143. Diesel Engine Engineering: Thermodynamics, Dynamics, Design,
and Control, Andrei Makartchouk
144. Handbook of Machine Tool Analysis, Ioan D. Marinescu,
Constantin Ispas, and Dan Boboc
145. Implementing Concurrent Engineering in Small Companies,
Susan Carlson Skalak
146. Practical Guide to the Packaging of Electronics: Thermal and Mechanical
Design and Analysis, Ali Jamnia
147. Bearing Design in Machinery: Engineering Tribology and Lubrication,
Avraham Harnoy

13. 148. Mechanical Reliability Improvement: Probability and Statistics
for Experimental Testing, R. E. Little
149. Industrial Boilers and Heat Recovery Steam Generators: Design,
Applications, and Calculations, V. Ganapathy
150. The CAD Guidebook: A Basic Manual for Understanding and Improving
Computer-Aided Design, Stephen J. Schoonmaker
151. Industrial Noise Control and Acoustics, Randall F. Barron
152. Mechanical Properties of Engineered Materials, Wolé Soboyejo
153. Reliability Verification, Testing, and Analysis in Engineering Design,
Gary S. Wasserman
154. Fundamental Mechanics of Fluids: Third Edition, I. G. Currie
155. Intermediate Heat Transfer, Kau-Fui Vincent Wong
156. HVAC Water Chillers and Cooling Towers: Fundamentals, Application,
and Operation, Herbert W. Stanford III
157. Gear Noise and Vibration: Second Edition, Revised and Expanded,
J. Derek Smith
158. Handbook of Turbomachinery: Second Edition, Revised and Expanded,
edited by Earl Logan, Jr. and Ramendra Roy
159. Piping and Pipeline Engineering: Design, Construction, Maintenance,
Integrity, and Repair, George A. Antaki
160. Turbomachinery: Design and Theory, Rama S. R. Gorla
and Aijaz Ahmed Khan
161. Target Costing: Market-Driven Product Design, M. Bradford Clifton,
Henry M. B. Bird, Robert E. Albano, and Wesley P. Townsend
162. Fluidized Bed Combustion, Simeon N. Oka
163. Theory of Dimensioning: An Introduction to Parameterizing Geometric
Models, Vijay Srinivasan
164. Handbook of Mechanical Alloy Design, edited by George E. Totten,
Lin Xie, and Kiyoshi Funatani
165. Structural Analysis of Polymeric Composite Materials, Mark E. Tuttle
166. Modeling and Simulation for Material Selection and Mechanical Design,
edited by George E. Totten, Lin Xie, and Kiyoshi Funatani
167. Handbook of Pneumatic Conveying Engineering, David Mills,
Mark G. Jones, and Vijay K. Agarwal
168. Clutches and Brakes: Design and Selection, Second Edition,
William C. Orthwein
169. Fundamentals of Fluid Film Lubrication: Second Edition,
Bernard J. Hamrock, Steven R. Schmid, and Bo O. Jacobson
170. Handbook of Lead-Free Solder Technology for Microelectronic
Assemblies, edited by Karl J. Puttlitz and Kathleen A. Stalter
171. Vehicle Stability, Dean Karnopp
172. Mechanical Wear Fundamentals and Testing: Second Edition,
Revised and Expanded, Raymond G. Bayer
173. Liquid Pipeline Hydraulics, E. Shashi Menon
174. Solid Fuels Combustion and Gasification, Marcio L. de Souza-Santos
175. Mechanical Tolerance Stackup and Analysis, Bryan R. Fischer
176. Engineering Design for Wear, Raymond G. Bayer
177. Vibrations of Shells and Plates: Third Edition, Revised and Expanded,
Werner Soedel
178. Refractories Handbook, edited by Charles A. Schacht

14. 179. Practical Engineering Failure Analysis, Hani M. Tawancy,
Anwar Ul-Hamid, and Nureddin M. Abbas
180. Mechanical Alloying and Milling, C. Suryanarayana
181. Mechanical Vibration: Analysis, Uncertainties, and Control,
Second Edition, Revised and Expanded, Haym Benaroya
182. Design of Automatic Machinery, Stephen J. Derby
183. Practical Fracture Mechanics in Design: Second Edition,
Revised and Expanded, Arun Shukla
184. Practical Guide to Designed Experiments, Paul D. Funkenbusch
185. Gigacycle Fatigue in Mechanical Practive, Claude Bathias
and Paul C. Paris
186. Selection of Engineering Materials and Adhesives, Lawrence W. Fisher
187. Boundary Methods: Elements, Contours, and Nodes, Subrata Mukherjee
and Yu Xie Mukherjee
188. Rotordynamics, Agnieszka (Agnes) Muszńyska
189. Pump Characteristics and Applications: Second Edition,
Michael W. Volk
190. Reliability Engineering: Probability Models and Maintenance Methods,
Joel A. Nachlas
191. Industrial Heating: Principles, Techniques, Materials, Applications,
and Design, Yeshvant V. Deshmukh
192. Micro Electro Mechanical System Design, James J. Allen
193. Probability Models in Engineering and Science, Haym Benaroya
and Seon Han
194. Damage Mechanics, George Z. Voyiadjis and Peter I. Kattan
195. Standard Handbook of Chains: Chains for Power Transmission
and Material Handling, Second Edition, American Chain Association and
John L. Wright, Technical Consultant
196. Standards for Engineering Design and Manufacturing,
Wasim Ahmed Khan and Abdul Raouf S.I.
197. Maintenance, Replacement, and Reliability: Theory and Applications,
Andrew K. S. Jardine and Albert H. C. Tsang
198. Finite Element Method: Applications in Solids, Structures, and Heat
Transfer, Michael R. Gosz
199. Microengineering, MEMS, and Interfacing: A Practical Guide,
Danny Banks
200. Fundamentals of Natural Gas Processing, Arthur J. Kidnay
and William Parrish
201. Optimal Control of Induction Heating Processes, Edgar Rapoport
and Yulia Pleshivtseva
202. Practical Plant Failure Analysis: A Guide to Understanding Machinery
Deterioration and Improving Equipment Reliability,
Neville W. Sachs, P.E.
203. Shaft Alignment Handbook, Third Edition, John Piotrowski
204. Advanced Vibration Analysis , S. Graham Kelly
205. Principles of Composite Materials Mechanics, Second Edition,
Ronald F. Gibson
206. Applied Combustion, Second Edition, Eugene L. Keating
207. Introduction to the Design and Behavior of Bolted Joints,
Fourth Edition: Non-Gasketed Joints, John H. Bickford

15. 208. Analytical and Approximate Methods in Transport Phenomena,
Marcio L. de Souza-Santos
209. Design and Optimization of Thermal Systems, Second Edition,
Yogesh Jaluria
210. Friction Science and Technology: From Concepts to Applications,
Second Edition, Peter J. Blau
211. Practical Guide to the Packaging of Electronics, Second Edition: Thermal
and Mechanical Design and Analysis, Ali Jamnia
212. Practical Stress Analysis in Engineering Design, Third Edition,
Ronald L. Huston and Harold Josephs
213. Principles of Biomechanics, Ronald L. Huston
214. Mechanical Vibration Analysis, Uncertainties, and Control, Third Edition,
Haym Benaroya and Mark L. Nagurka

17. Mechanical Vibration
Analysis, Uncertainties, and Control
THIRD EDITION
Haym Benaroya
Rutgers University
Mark L. Nagurka
Marquette University
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19. PREFACE
Introductory Comments
From the natural world to the physical world, cycles are everywhere. We
live our lives according to cycles as the days turn into weeks, the weeks into
months, and the months into years. Cycles repeat at regular intervals and
it is this repetitiveness that underlies the concept of vibration.
Humans are drawn to vibration as a source of comfort –from our earliest
days being rocked to sleep to our later years rocking back and forth in a
rocking chair. But, vibration can also be a source of great discomfort1
with the negative e¤ects of numbness, motion sickness, injury, and even
death. Speaking subjectively, vibration can be good or bad depending on
the circumstance.
When we don’
t want a cell phone to ring – an example of acoustic
vibration –we put it in a mode called “vibrate.”We intentionally want it
to vibrate. Yet, when our car vibrates too much we know from the shaking
that something is wrong. It could be out of alignment; it could be the
shock absorbers are shot; it could be the engine mounts are bad; it could
be the engine is mis…ring. A trained mechanic will be able to diagnose the
problem based on the vibration signature. In this case, we intentionally
1 Vibration exposure is more than just a nuisance. It can be a serious health hazard.
Constant exposure to vibration has been known to cause a range of medical problems such
as back pain, carpal tunnel syndrome, and vascular disorders. Vibration related injury
is especially prevalent in occupations that require outdoor work, such as construction,
farming, transportation, shipping, and forestry.
There are two classi…cations for vibration exposure: whole-body vibration and hand
and arm vibration. Whole-body vibration is vibration transmitted to the entire body via
the seat or the feet, or both, often through driving or riding in vehicles (including trucks,
tractors, trains, and o¤-road vehicles) or through standing on vibrating ‡oors (near power
presses in a stamping plant or near vibrating heavy machinery, for example; pumps,
compressors, air handling units and other equipment all contribute to the excitation of
the ‡oors). Hand-and-arm vibration, on the other hand, is limited to the hands and arms
and usually results from the use of power hand tools (reciprocating and impact tools,
jackhammers, grinders, woodchippers, for example) and from vehicle controls.
iii

20. iv
want to eliminate the vibration, although we know the best we can do is
minimize it.
Vibration is pervasive. In fact, it is challenging to …nd examples that
are not related to vibration. Applications of vibration cross disparate dis-
ciplines, well beyond engineering. The following list is only a subset:
biology (pulse rate, breathing rate, biorhythms, balance, tremors,
just to name a few2
)
physics (waves, sound, quantum mechanics)
chemistry (atomic vibration,3
spectroscopy)
astronomy (planetary orbits,4
sunspot cycles)
geology (seismic tremors, earthquakes, volcanic eruptions)
oceanography (ocean waves, deep sea currents)
meteorology (climate and weather cycles)
zoology (predator-prey models of animal populations, host-
parasite cycles, ecosystem cycles, among many others5
)
psychology (seasonal cycles in behavior, sleep cycles, manic-
depressive cycles)
economics (…nancial cycles, business cycles)
agronomy (agricultural cycles)
history (war and peace cycles, governance style cycles)
religion (holidays, life-cycle events)
philosophy (cycles in Eastern philosophy)
parapsychology (astrological cycles)
The word vibration is a common English word that means motion in
oscillation. In a mechanical system, vibration can be viewed as a give-and-
take (tug-of-war) between forces tending toward a balance. The forces are
…ghting each other, causing motion that see-saws back and forth, all the
2 Almost everything in the body is rhythmic. ECG and EEG signals are rhythmic for
a healthy person. Nerve action-potentials are cyclic. Eye blinking is cyclic, although the
rate is not constant. Some rhythms in the body can be varied; many cannot.
3 At an atomic level vibration means there is temperature.
4 A year is the time for the Earth to rotate about the Sun once. A month is the time
for the Moon to rotate about the Earth once. A day is the time for the Earth to rotate
about its axis once.
5 There are many interesting examples: snakes move by and sense vibration, dogs
detect danger by vibration, hummingbird wings ‡ap at known frequencies.

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—Noble fils de Laërte, industrieux Ulysse, cesse de combattre, de
peur que Zeus à la voix terrible ne s'irrite contre toi.
Elle dit et le héros se réjouissant en son cœur, lui obéit. Alors
Pallas Athéné, semblable à Mentor dont elle avait pris les traits et la
voix, immola les victimes, gages sacrés du serment de paix, entre les
deux partis.

25. Table

26. Pages.
Chant premier. — Ithaque 1
— II. — Télémaque 17
— III. — Pylos 31
— IV. — Lacédémone 47
— V. — Calypso 77
— VI. — Nausicaa 95
— VII. — Alcinoüs 109
— VIII. — Jeux 123
— IX. — Le Cyclope 145
— X. — Circé 169
— XI. — Ulysse aux Enfers 193
— XII. — Charybde et Scylla 215
— XIII. — Retour à Ithaque 235
— XIV. — Eumée 253
— XV. — Retour de Télémaque 273
— XVI. — Ulysse et Télémaque 295
— XVII. — Les Prétendants 317
— XVIII. — Pénélope 343
— XIX. — Euryclée 365
— XX. — Funestes Présages 389
— XXI. — L'Arc d'Ulysse 407
— XXII. — Le Massacre 427
— XXIII. — Ulysse et Pénélope 449
— XXIV. — Laërte 465
Table 483

28. Imprimerie des Nouvelles Collections Guillaume
E. GUILLAUME, DIRECTEUR
Borel.—110, avenue d'Orléans, Paris.

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