Matches in SemOpenAlex for { <https://semopenalex.org/work/W1963776315> ?p ?o ?g. }
Showing items 1 to 91 of
91
with 100 items per page.
- W1963776315 endingPage "1457" @default.
- W1963776315 startingPage "1450" @default.
- W1963776315 abstract "The matrix model updating problem (MMUP), considered in this paper, concerns updating a symmetric second-order finite element model so that the updated model can reproduce a given set of measured eigenvalues and eigenvectors by replacing the corresponding ones from the original model, and preserves the symmetry of the original model. The MMUP can be mathematically formulated as following two problems. Problem 1: Given Ma∈Rn×n,Λ=diag{λ1,…,λp}∈Cp×p,X=[x1,…,xp]∈Cn×p, where p<n and both Λ and X are closed under complex conjugation in the sense that λ2j=λ¯2j-1∈C, x2j=x¯2j-1∈Cn for j=1,…,l, and λk∈R, xk∈Rn for k=2l+1,…,p, find real-valued symmetric matrices D, K and a real-valued skew-symmetric matrix G (that is, GT=-G) such that MaXΛ2+(D+G)XΛ+KX=0. Problem 2: Given real-valued symmetric matrices Da,Ka∈Rn×n and a real-valued skew-symmetric matrix Ga, find (D^,G^,K^)∈SE such that ‖D^-Da‖2+‖G^-Ga‖2+‖K^-Ka‖2=min(D,G,K)∈SE(‖D-Da‖2+‖G-Ga‖2+‖K-Ka‖2), where SE is the solution set of Problem 1 and ‖·‖ is the Frobenius norm. We provide the representation of the general solution of Problem 1 and show that the optimal approximation solution (D^,G^,K^) is unique and derive an explicit formula for it." @default.
- W1963776315 created "2016-06-24" @default.
- W1963776315 creator A5007275612 @default.
- W1963776315 creator A5062480844 @default.
- W1963776315 date "2010-06-01" @default.
- W1963776315 modified "2023-10-05" @default.
- W1963776315 title "A direct updating method for damped gyroscopic systems using measured modal data" @default.
- W1963776315 cites W1970606629 @default.
- W1963776315 cites W1997932239 @default.
- W1963776315 cites W1999539637 @default.
- W1963776315 cites W2010516768 @default.
- W1963776315 cites W2025585955 @default.
- W1963776315 cites W2031650592 @default.
- W1963776315 cites W2032423017 @default.
- W1963776315 cites W2033917086 @default.
- W1963776315 cites W2040096607 @default.
- W1963776315 cites W2043108941 @default.
- W1963776315 cites W2056656705 @default.
- W1963776315 cites W2061361453 @default.
- W1963776315 cites W2061540419 @default.
- W1963776315 cites W2080671166 @default.
- W1963776315 cites W2091556854 @default.
- W1963776315 cites W2091599869 @default.
- W1963776315 cites W2101850263 @default.
- W1963776315 cites W2129885352 @default.
- W1963776315 cites W2129923765 @default.
- W1963776315 cites W2134302853 @default.
- W1963776315 cites W2163245188 @default.
- W1963776315 doi "https://doi.org/10.1016/j.apm.2009.08.028" @default.
- W1963776315 hasPublicationYear "2010" @default.
- W1963776315 type Work @default.
- W1963776315 sameAs 1963776315 @default.
- W1963776315 citedByCount "16" @default.
- W1963776315 countsByYear W19637763152012 @default.
- W1963776315 countsByYear W19637763152013 @default.
- W1963776315 countsByYear W19637763152014 @default.
- W1963776315 countsByYear W19637763152016 @default.
- W1963776315 countsByYear W19637763152018 @default.
- W1963776315 countsByYear W19637763152019 @default.
- W1963776315 countsByYear W19637763152020 @default.
- W1963776315 countsByYear W19637763152021 @default.
- W1963776315 crossrefType "journal-article" @default.
- W1963776315 hasAuthorship W1963776315A5007275612 @default.
- W1963776315 hasAuthorship W1963776315A5062480844 @default.
- W1963776315 hasConcept C106487976 @default.
- W1963776315 hasConcept C114614502 @default.
- W1963776315 hasConcept C121332964 @default.
- W1963776315 hasConcept C134306372 @default.
- W1963776315 hasConcept C158693339 @default.
- W1963776315 hasConcept C159985019 @default.
- W1963776315 hasConcept C192562407 @default.
- W1963776315 hasConcept C33923547 @default.
- W1963776315 hasConcept C41106240 @default.
- W1963776315 hasConcept C54848796 @default.
- W1963776315 hasConcept C62520636 @default.
- W1963776315 hasConcept C69044650 @default.
- W1963776315 hasConcept C92207270 @default.
- W1963776315 hasConceptScore W1963776315C106487976 @default.
- W1963776315 hasConceptScore W1963776315C114614502 @default.
- W1963776315 hasConceptScore W1963776315C121332964 @default.
- W1963776315 hasConceptScore W1963776315C134306372 @default.
- W1963776315 hasConceptScore W1963776315C158693339 @default.
- W1963776315 hasConceptScore W1963776315C159985019 @default.
- W1963776315 hasConceptScore W1963776315C192562407 @default.
- W1963776315 hasConceptScore W1963776315C33923547 @default.
- W1963776315 hasConceptScore W1963776315C41106240 @default.
- W1963776315 hasConceptScore W1963776315C54848796 @default.
- W1963776315 hasConceptScore W1963776315C62520636 @default.
- W1963776315 hasConceptScore W1963776315C69044650 @default.
- W1963776315 hasConceptScore W1963776315C92207270 @default.
- W1963776315 hasIssue "6" @default.
- W1963776315 hasLocation W19637763151 @default.
- W1963776315 hasOpenAccess W1963776315 @default.
- W1963776315 hasPrimaryLocation W19637763151 @default.
- W1963776315 hasRelatedWork W1977664185 @default.
- W1963776315 hasRelatedWork W1995880156 @default.
- W1963776315 hasRelatedWork W2043539212 @default.
- W1963776315 hasRelatedWork W2069734586 @default.
- W1963776315 hasRelatedWork W2077367373 @default.
- W1963776315 hasRelatedWork W2088255893 @default.
- W1963776315 hasRelatedWork W2240638229 @default.
- W1963776315 hasRelatedWork W2365163371 @default.
- W1963776315 hasRelatedWork W2385939038 @default.
- W1963776315 hasRelatedWork W2390599191 @default.
- W1963776315 hasVolume "34" @default.
- W1963776315 isParatext "false" @default.
- W1963776315 isRetracted "false" @default.
- W1963776315 magId "1963776315" @default.
- W1963776315 workType "article" @default.