Items related to Stochastic Finite Elements: A Spectral Approach, Revised...

Stochastic Finite Elements: A Spectral Approach, Revised Edition (Dover Civil and Mechanical Engineering) - Softcover

 
Image Not Available

Synopsis

Discrepancies frequently occur between a physical system's responses and predictions obtained from mathematical models. The Spectral Stochastic Finite Element Method (SSFEM) has proven successful at forecasting a variety of uncertainties in calculating system responses. This text analyzes a class of discrete mathematical models of engineering systems, identifying key issues and reviewing relevant theoretical concepts, with particular attention to a spectral approach.
Random system parameters are modeled as second-order stochastic processes, defined by their mean and covariance functions. Relying on the spectral properties of the covariance function, the Karhunen-Loeve expansion is employed to represent these processes in terms of a countable set of uncorrected random variables, casting the problem in a finite dimensional setting. Various spectral approximations for the stochastic response of the system are obtained. Implementing the concept of generalized inverse leads to an explicit expression for the response process as a multivariate polynomial functional of a set of uncorrelated random variables. Alternatively, the solution process is treated as an element in the Hilbert space of random functions, in which a spectral representation is identified in terms of polynomial chaos. In this context, the solution process is approximated by its projection onto a finite subspace spanned by these polynomials.

"synopsis" may belong to another edition of this title.

About the Author

Roger G. Ghanem is a Professor at University of Southern California's Department of Aerospace and Mechanical Engineering in Los Angeles.
Pol D. Spanos is the L. B. Ryon Chair in Engineering in the Department of Mechanical Engineering and Materials Science at Rice University.

"About this title" may belong to another edition of this title.

  • PublisherDover Publications
  • Publication date2012
  • ISBN 10 0486428184
  • ISBN 13 9780486428185
  • BindingPaperback
  • LanguageEnglish
  • Number of pages240

Buy Used

Condition: Good
Item in good condition. Textbooks... View this item

Shipping: FREE
Within U.S.A.

Destination, rates & speeds

Add to basket

Other Popular Editions of the Same Title

Image Not Available

Featured Edition

ISBN 10:  0486786099 ISBN 13:  9780486786094
Publisher: Dover Publications, 2013
Hardcover

Search results for Stochastic Finite Elements: A Spectral Approach, Revised...

Stock Image

Ghanem, Roger G., Spanos, Pol D.
Published by Dover Publications, 2012
ISBN 10: 0486428184 ISBN 13: 9780486428185
Used Softcover

Seller: SecondSale, Montgomery, IL, U.S.A.

Seller rating 5 out of 5 stars 5-star rating, Learn more about seller ratings

Condition: Good. Item in good condition. Textbooks may not include supplemental items i.e. CDs, access codes etc. Seller Inventory # 00040173640

Contact seller

Buy Used

US$ 9.54
Convert currency
Shipping: FREE
Within U.S.A.
Destination, rates & speeds

Quantity: 2 available

Add to basket

Stock Image

Ghanem, Roger G.,Spanos, Pol D.
Published by Dover Publications, 2012
ISBN 10: 0486428184 ISBN 13: 9780486428185
Used paperback

Seller: Midtown Scholar Bookstore, Harrisburg, PA, U.S.A.

Seller rating 5 out of 5 stars 5-star rating, Learn more about seller ratings

paperback. Condition: Very Good. revised edition Very Good paperback with light shelfwear - NICE! Standard-sized. Seller Inventory # mon0000275787

Contact seller

Buy Used

US$ 4.56
Convert currency
Shipping: US$ 6.00
Within U.S.A.
Destination, rates & speeds

Quantity: 1 available

Add to basket

Seller Image

Ghanem, Roger G.
Published by Dover Publications 7/17/2012, 2012
ISBN 10: 0486428184 ISBN 13: 9780486428185
New Paperback or Softback

Seller: BargainBookStores, Grand Rapids, MI, U.S.A.

Seller rating 5 out of 5 stars 5-star rating, Learn more about seller ratings

Paperback or Softback. Condition: New. Stochastic Finite Elements: A Spectral Approach, Revised Edition 0.59. Book. Seller Inventory # BBS-9780486428185

Contact seller

Buy New

US$ 15.04
Convert currency
Shipping: FREE
Within U.S.A.
Destination, rates & speeds

Quantity: 5 available

Add to basket

Seller Image

Ghanem, Roger G.; Spanos, P. D.
Published by Dover Publications, 2012
ISBN 10: 0486428184 ISBN 13: 9780486428185
New Softcover

Seller: GreatBookPrices, Columbia, MD, U.S.A.

Seller rating 5 out of 5 stars 5-star rating, Learn more about seller ratings

Condition: New. Seller Inventory # 1186891-n

Contact seller

Buy New

US$ 12.42
Convert currency
Shipping: US$ 2.64
Within U.S.A.
Destination, rates & speeds

Quantity: Over 20 available

Add to basket

Stock Image

Ghanem, Roger G.
Published by Dover Publishers, 2012
ISBN 10: 0486428184 ISBN 13: 9780486428185
New Softcover

Seller: INDOO, Avenel, NJ, U.S.A.

Seller rating 5 out of 5 stars 5-star rating, Learn more about seller ratings

Condition: New. Brand New. Seller Inventory # 9780486428185

Contact seller

Buy New

US$ 15.83
Convert currency
Shipping: FREE
Within U.S.A.
Destination, rates & speeds

Quantity: Over 20 available

Add to basket

Seller Image

Ghanem, Roger G.; Spanos, P. D.
Published by Dover Publications, 2012
ISBN 10: 0486428184 ISBN 13: 9780486428185
Used Softcover

Seller: GreatBookPrices, Columbia, MD, U.S.A.

Seller rating 4 out of 5 stars 4-star rating, Learn more about seller ratings

Condition: As New. Unread book in perfect condition. Seller Inventory # 1186891

Contact seller

Buy Used

US$ 14.57
Convert currency
Shipping: US$ 2.64
Within U.S.A.
Destination, rates & speeds

Quantity: Over 20 available

Add to basket

Stock Image

Ghanem, Roger G.; Spanos, Pol D.
Published by Dover Publications, 2012
ISBN 10: 0486428184 ISBN 13: 9780486428185
New Softcover

Seller: California Books, Miami, FL, U.S.A.

Seller rating 5 out of 5 stars 5-star rating, Learn more about seller ratings

Condition: New. Seller Inventory # I-9780486428185

Contact seller

Buy New

US$ 18.00
Convert currency
Shipping: FREE
Within U.S.A.
Destination, rates & speeds

Quantity: Over 20 available

Add to basket

Stock Image

Roger G. Ghanem
ISBN 10: 0486428184 ISBN 13: 9780486428185
New Paperback

Seller: Grand Eagle Retail, Fairfield, OH, U.S.A.

Seller rating 5 out of 5 stars 5-star rating, Learn more about seller ratings

Paperback. Condition: new. Paperback. Discrepancies frequently occur between a physical system's responses and predictions obtained from mathematical models. The Spectral Stochastic Finite Element Method (SSFEM) has proven successful at forecasting a variety of uncertainties in calculating system responses. This text analyses a class of discrete mathematical models of engineering systems, identifying key issues and reviewing relevant theoretical concepts, with particular attention to a spectral approach.Random system parameters are modeled as second-order stochastic processes, defined by their mean and covariance functions. Relying on the spectral properties of the covariance function, the Karhunen-Loeve expansion is employed to represent these processes in terms of a countable set of uncorrected random variables, casting the problem in a finite dimensional setting. Various spectral approximations for the stochastic response of the system are obtained. Implementing the concept of generalized inverse leads to an explicit expression for the response process as a multivariate polynomial functional of a set of uncorrelated random variables. Alternatively, the solution process is treated as an element in the Hilbert space of random functions, in which a spectral representation is identified in terms of polynomial chaos. In this context, the solution process is approximated by its projection onto a finite subspace spanned by these polynomials. This text analyzes a class of discrete mathematical models of engineering systems, identifying key issues and reviewing relevant theoretical concepts, with particular attention to a spectral approach. 1991 edition. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Seller Inventory # 9780486428185

Contact seller

Buy New

US$ 19.60
Convert currency
Shipping: FREE
Within U.S.A.
Destination, rates & speeds

Quantity: 1 available

Add to basket

Stock Image

Ghanem, Roger G.
Published by DOVER PUBN INC, 2012
ISBN 10: 0486428184 ISBN 13: 9780486428185
New Softcover

Seller: Russell Books, Victoria, BC, Canada

Seller rating 5 out of 5 stars 5-star rating, Learn more about seller ratings

Softcover. Condition: New. Special order direct from the distributor. Seller Inventory # ING9780486428185

Contact seller

Buy New

US$ 16.95
Convert currency
Shipping: US$ 9.99
From Canada to U.S.A.
Destination, rates & speeds

Quantity: Over 20 available

Add to basket

Stock Image

Roger G. Ghanem/ Pol D. Spanos
Published by Dover Pubns, 2003
ISBN 10: 0486428184 ISBN 13: 9780486428185
New Paperback

Seller: Revaluation Books, Exeter, United Kingdom

Seller rating 5 out of 5 stars 5-star rating, Learn more about seller ratings

Paperback. Condition: Brand New. revised edition. 222 pages. 8.25x5.25x0.75 inches. In Stock. Seller Inventory # x-0486428184

Contact seller

Buy New

US$ 19.24
Convert currency
Shipping: US$ 12.99
From United Kingdom to U.S.A.
Destination, rates & speeds

Quantity: 2 available

Add to basket

There are 8 more copies of this book

View all search results for this book