Maximum Displacement Variability of Stochastic Structures Subject to Deterministic Earthquake Loading
The variability of the maximum response displacement of random frame structures under deterministic earthquake loading are examined in this paper using stochastic finite element techniques. The elastic modulus and the mass density are assumed to be described by cross-correlated stochastic fields. Sp...
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| Format: | Article |
| Language: | English |
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Wiley
1998-01-01
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| Series: | Shock and Vibration |
| Online Access: | http://dx.doi.org/10.1155/1998/281320 |
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| _version_ | 1832547535916367872 |
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| author | L.L. Graham |
| author_facet | L.L. Graham |
| author_sort | L.L. Graham |
| collection | DOAJ |
| description | The variability of the maximum response displacement of random frame structures under deterministic earthquake loading are examined in this paper using stochastic finite element techniques. The elastic modulus and the mass density are assumed to be described by cross-correlated stochastic fields. Specifically, a variability response function formulation is used for this problem, which allows for calculation of spectral-distribution-free upper bounds of the maximum displacement variance. Further, under the assumption of prespecified correlation functions describing the spatial variation of the material properties, variability response functions are used to calculate the corresponding maximum displacement variance. Two numerical examples are provided to demonstrate the methodology. Results show that randomness in the material properties can lead to significant uncertainty in the maximum response displacement. |
| format | Article |
| id | doaj-art-d8832798685c439cac787e93abdfd021 |
| institution | Kabale University |
| issn | 1070-9622 1875-9203 |
| language | English |
| publishDate | 1998-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Shock and Vibration |
| spelling | doaj-art-d8832798685c439cac787e93abdfd0212025-02-03T06:44:32ZengWileyShock and Vibration1070-96221875-92031998-01-0155-635536910.1155/1998/281320Maximum Displacement Variability of Stochastic Structures Subject to Deterministic Earthquake LoadingL.L. Graham0Department of Civil Engineering, University of Virginia, Charlottesville, VA 22903-2442, USAThe variability of the maximum response displacement of random frame structures under deterministic earthquake loading are examined in this paper using stochastic finite element techniques. The elastic modulus and the mass density are assumed to be described by cross-correlated stochastic fields. Specifically, a variability response function formulation is used for this problem, which allows for calculation of spectral-distribution-free upper bounds of the maximum displacement variance. Further, under the assumption of prespecified correlation functions describing the spatial variation of the material properties, variability response functions are used to calculate the corresponding maximum displacement variance. Two numerical examples are provided to demonstrate the methodology. Results show that randomness in the material properties can lead to significant uncertainty in the maximum response displacement.http://dx.doi.org/10.1155/1998/281320 |
| spellingShingle | L.L. Graham Maximum Displacement Variability of Stochastic Structures Subject to Deterministic Earthquake Loading Shock and Vibration |
| title | Maximum Displacement Variability of Stochastic Structures Subject to Deterministic Earthquake Loading |
| title_full | Maximum Displacement Variability of Stochastic Structures Subject to Deterministic Earthquake Loading |
| title_fullStr | Maximum Displacement Variability of Stochastic Structures Subject to Deterministic Earthquake Loading |
| title_full_unstemmed | Maximum Displacement Variability of Stochastic Structures Subject to Deterministic Earthquake Loading |
| title_short | Maximum Displacement Variability of Stochastic Structures Subject to Deterministic Earthquake Loading |
| title_sort | maximum displacement variability of stochastic structures subject to deterministic earthquake loading |
| url | http://dx.doi.org/10.1155/1998/281320 |
| work_keys_str_mv | AT llgraham maximumdisplacementvariabilityofstochasticstructuressubjecttodeterministicearthquakeloading |