Matches in SemOpenAlex for { <https://semopenalex.org/work/W4316591404> ?p ?o ?g. }
- W4316591404 endingPage "7269" @default.
- W4316591404 startingPage "7251" @default.
- W4316591404 abstract "Abstract The response of a parametrically excited cantilever beam (PECB) with a tip mass is investigated in this paper. The paper is mainly focused on accurate prediction of the response of the system, in particular, its hardening and softening characteristics when linear damping is considered. First, the method of varying amplitudes (MVA) and the method of multiple scales (MMS) are employed. It is shown that both Duffing nonlinearity and nonlinear inertia terms govern the hardening or softening behaviour of a PECB. MVA results show that for frequencies around the principal parametric resonance, the term containing a linear combination of nonlinear inertia and Duffing nonlinearity in the frequency response equation can tend to zero, resulting in an exponential growth of the vibrations, and results are validated by numerical results obtained from direct integration (DI) of the equation of motion, while the MMS fails to predict this critical frequency. A criterion for determining the hardening and softening characteristics of PECBs is developed and presented using the MVA. To verify the results, experimental measurements for a PECB with a tip mass are presented, showing good agreement with analytical and numerical results. Furthermore, it is demonstrated that the mass added at the cantilever tip can change the system characteristics, enhancing the softening behaviour of the PECB. It is shown that, within the frequency range considered, increasing the value of the tip mass decreases the amplitude response of the system and broadens the frequency range in which a stable response can exist." @default.
- W4316591404 created "2023-01-17" @default.
- W4316591404 creator A5014585473 @default.
- W4316591404 creator A5031460840 @default.
- W4316591404 creator A5058482715 @default.
- W4316591404 date "2023-01-16" @default.
- W4316591404 modified "2023-09-30" @default.
- W4316591404 title "Nonlinear dynamics of parametrically excited cantilever beams with a tip mass considering nonlinear inertia and Duffing-type nonlinearity" @default.
- W4316591404 cites W1491250416 @default.
- W4316591404 cites W1994606407 @default.
- W4316591404 cites W1994677976 @default.
- W4316591404 cites W2006515438 @default.
- W4316591404 cites W2009462070 @default.
- W4316591404 cites W2015007559 @default.
- W4316591404 cites W2023351987 @default.
- W4316591404 cites W2028491134 @default.
- W4316591404 cites W2036418756 @default.
- W4316591404 cites W2037713137 @default.
- W4316591404 cites W2043912301 @default.
- W4316591404 cites W2044059521 @default.
- W4316591404 cites W2045944624 @default.
- W4316591404 cites W2046731204 @default.
- W4316591404 cites W2060428235 @default.
- W4316591404 cites W2076003437 @default.
- W4316591404 cites W2079668962 @default.
- W4316591404 cites W2082293553 @default.
- W4316591404 cites W2107497609 @default.
- W4316591404 cites W2109563272 @default.
- W4316591404 cites W2146988025 @default.
- W4316591404 cites W2156142363 @default.
- W4316591404 cites W2159832479 @default.
- W4316591404 cites W2486601029 @default.
- W4316591404 cites W2517822507 @default.
- W4316591404 cites W2623421967 @default.
- W4316591404 cites W2767671067 @default.
- W4316591404 cites W2786584893 @default.
- W4316591404 cites W2810261727 @default.
- W4316591404 cites W2908720406 @default.
- W4316591404 cites W2910776945 @default.
- W4316591404 cites W2955579104 @default.
- W4316591404 cites W2980289871 @default.
- W4316591404 cites W2982245631 @default.
- W4316591404 cites W2997618711 @default.
- W4316591404 cites W3041853663 @default.
- W4316591404 cites W3049622307 @default.
- W4316591404 cites W3081055163 @default.
- W4316591404 cites W3110696661 @default.
- W4316591404 cites W3117918568 @default.
- W4316591404 cites W3175579789 @default.
- W4316591404 cites W3208223084 @default.
- W4316591404 cites W33567092 @default.
- W4316591404 cites W4231409469 @default.
- W4316591404 cites W1971700908 @default.
- W4316591404 doi "https://doi.org/10.1007/s11071-023-08236-w" @default.
- W4316591404 hasPublicationYear "2023" @default.
- W4316591404 type Work @default.
- W4316591404 citedByCount "0" @default.
- W4316591404 crossrefType "journal-article" @default.
- W4316591404 hasAuthorship W4316591404A5014585473 @default.
- W4316591404 hasAuthorship W4316591404A5031460840 @default.
- W4316591404 hasAuthorship W4316591404A5058482715 @default.
- W4316591404 hasBestOaLocation W43165914041 @default.
- W4316591404 hasConcept C110407247 @default.
- W4316591404 hasConcept C119599485 @default.
- W4316591404 hasConcept C120665830 @default.
- W4316591404 hasConcept C121332964 @default.
- W4316591404 hasConcept C127413603 @default.
- W4316591404 hasConcept C132323500 @default.
- W4316591404 hasConcept C141354745 @default.
- W4316591404 hasConcept C154945302 @default.
- W4316591404 hasConcept C158622935 @default.
- W4316591404 hasConcept C159985019 @default.
- W4316591404 hasConcept C180205008 @default.
- W4316591404 hasConcept C192562407 @default.
- W4316591404 hasConcept C198394728 @default.
- W4316591404 hasConcept C24890656 @default.
- W4316591404 hasConcept C2775924081 @default.
- W4316591404 hasConcept C2779227376 @default.
- W4316591404 hasConcept C2781098093 @default.
- W4316591404 hasConcept C33923547 @default.
- W4316591404 hasConcept C40678858 @default.
- W4316591404 hasConcept C41008148 @default.
- W4316591404 hasConcept C44255700 @default.
- W4316591404 hasConcept C47446073 @default.
- W4316591404 hasConcept C57879066 @default.
- W4316591404 hasConcept C62520636 @default.
- W4316591404 hasConcept C66938386 @default.
- W4316591404 hasConcept C74650414 @default.
- W4316591404 hasConcept C8590192 @default.
- W4316591404 hasConceptScore W4316591404C110407247 @default.
- W4316591404 hasConceptScore W4316591404C119599485 @default.
- W4316591404 hasConceptScore W4316591404C120665830 @default.
- W4316591404 hasConceptScore W4316591404C121332964 @default.
- W4316591404 hasConceptScore W4316591404C127413603 @default.
- W4316591404 hasConceptScore W4316591404C132323500 @default.
- W4316591404 hasConceptScore W4316591404C141354745 @default.
- W4316591404 hasConceptScore W4316591404C154945302 @default.
- W4316591404 hasConceptScore W4316591404C158622935 @default.