Matches in SemOpenAlex for { <https://semopenalex.org/work/W3020348959> ?p ?o ?g. }
Showing items 1 to 82 of
82
with 100 items per page.
- W3020348959 endingPage "96" @default.
- W3020348959 startingPage "77" @default.
- W3020348959 abstract "We study the problem of dynamic homogenization, replacing a high-frequency vibrating mass-spring chain with a single nonlinear spring and determine its time-averaged elastic characteristics. A mass-spring chain of n equal non-monotonic bistable springs that join equal small masses is considered. The potential energy of each spring is a nonconvex two-well function V(U) with two local minima that correspond to equilibrium positions (a long and a short mode). The kinetic energy Q defines the intensity of the oscillations. Each spring may oscillate around either long or short equilibria; the total elongation U of the chain is not uniquely defined. The minimal potential energy of the homogenized static chain corresponds to the Maxwell line and is equal to the convex envelope (mathcal{C}V(U)) of the two-well potential energy V(U) of a single spring. Here, we describe a family of homogenized energies (mathcal{D}V(U, Q)) of a vibrating chain; they depend on the kinetic energy Q. We treat the phase of each spring as a random variable; using the Central Limit Theorem, we find the homogenized behavior of the chain. We derive formulas for average elongation versus force dependence, and we show it is strictly monotonic and tends to the Maxwell line when kinetic energy is low. Numerical simulations validate our model. The results generalize the Maxwell rule to the dynamic chain." @default.
- W3020348959 created "2020-05-01" @default.
- W3020348959 creator A5052767842 @default.
- W3020348959 creator A5079606220 @default.
- W3020348959 date "2020-01-01" @default.
- W3020348959 modified "2023-10-17" @default.
- W3020348959 title "Dynamic Homogenization of a Chain with Bistable Springs. Statistical Approach" @default.
- W3020348959 cites W1566808069 @default.
- W3020348959 cites W2032450226 @default.
- W3020348959 cites W2033209485 @default.
- W3020348959 cites W2033546006 @default.
- W3020348959 cites W2056871913 @default.
- W3020348959 cites W2067268937 @default.
- W3020348959 cites W2071098421 @default.
- W3020348959 cites W2073949196 @default.
- W3020348959 cites W2108567842 @default.
- W3020348959 cites W2122583667 @default.
- W3020348959 cites W2146382829 @default.
- W3020348959 cites W2161754528 @default.
- W3020348959 cites W2290384408 @default.
- W3020348959 cites W2556611075 @default.
- W3020348959 cites W2964116522 @default.
- W3020348959 doi "https://doi.org/10.1007/978-3-030-38708-2_5" @default.
- W3020348959 hasPublicationYear "2020" @default.
- W3020348959 type Work @default.
- W3020348959 sameAs 3020348959 @default.
- W3020348959 citedByCount "1" @default.
- W3020348959 countsByYear W30203489592022 @default.
- W3020348959 crossrefType "book-chapter" @default.
- W3020348959 hasAuthorship W3020348959A5052767842 @default.
- W3020348959 hasAuthorship W3020348959A5079606220 @default.
- W3020348959 hasConcept C121332964 @default.
- W3020348959 hasConcept C121864883 @default.
- W3020348959 hasConcept C130217890 @default.
- W3020348959 hasConcept C134306372 @default.
- W3020348959 hasConcept C135889238 @default.
- W3020348959 hasConcept C186633575 @default.
- W3020348959 hasConcept C18903297 @default.
- W3020348959 hasConcept C199185054 @default.
- W3020348959 hasConcept C2778722038 @default.
- W3020348959 hasConcept C33923547 @default.
- W3020348959 hasConcept C37914503 @default.
- W3020348959 hasConcept C62520636 @default.
- W3020348959 hasConcept C72169020 @default.
- W3020348959 hasConcept C74650414 @default.
- W3020348959 hasConcept C86803240 @default.
- W3020348959 hasConcept C97292510 @default.
- W3020348959 hasConceptScore W3020348959C121332964 @default.
- W3020348959 hasConceptScore W3020348959C121864883 @default.
- W3020348959 hasConceptScore W3020348959C130217890 @default.
- W3020348959 hasConceptScore W3020348959C134306372 @default.
- W3020348959 hasConceptScore W3020348959C135889238 @default.
- W3020348959 hasConceptScore W3020348959C186633575 @default.
- W3020348959 hasConceptScore W3020348959C18903297 @default.
- W3020348959 hasConceptScore W3020348959C199185054 @default.
- W3020348959 hasConceptScore W3020348959C2778722038 @default.
- W3020348959 hasConceptScore W3020348959C33923547 @default.
- W3020348959 hasConceptScore W3020348959C37914503 @default.
- W3020348959 hasConceptScore W3020348959C62520636 @default.
- W3020348959 hasConceptScore W3020348959C72169020 @default.
- W3020348959 hasConceptScore W3020348959C74650414 @default.
- W3020348959 hasConceptScore W3020348959C86803240 @default.
- W3020348959 hasConceptScore W3020348959C97292510 @default.
- W3020348959 hasLocation W30203489591 @default.
- W3020348959 hasOpenAccess W3020348959 @default.
- W3020348959 hasPrimaryLocation W30203489591 @default.
- W3020348959 hasRelatedWork W1985875536 @default.
- W3020348959 hasRelatedWork W2320452627 @default.
- W3020348959 hasRelatedWork W2506467182 @default.
- W3020348959 hasRelatedWork W2800546810 @default.
- W3020348959 hasRelatedWork W2949933940 @default.
- W3020348959 hasRelatedWork W2986047190 @default.
- W3020348959 hasRelatedWork W3092615470 @default.
- W3020348959 hasRelatedWork W3151436823 @default.
- W3020348959 hasRelatedWork W4210919477 @default.
- W3020348959 hasRelatedWork W4224245210 @default.
- W3020348959 isParatext "false" @default.
- W3020348959 isRetracted "false" @default.
- W3020348959 magId "3020348959" @default.
- W3020348959 workType "book-chapter" @default.