{"title":"超材料链中的非线性弯曲应变波建模","authors":"A. V. Porubov","doi":"10.1007/s11141-024-10335-6","DOIUrl":null,"url":null,"abstract":"<p>We use a discrete–continuum approach to study geometrically nonlinear bending waves in a massin-mass metamaterial chain. The nonlinear equations of motion are derived, both in the form of coupled differential–difference equations and in the form of partial differential equations in the continuum limit. The possible existence of an analytical solution of continuum equations in the form of a solitary strain wave is examined.</p>","PeriodicalId":748,"journal":{"name":"Radiophysics and Quantum Electronics","volume":"66 10","pages":"780 - 786"},"PeriodicalIF":0.8000,"publicationDate":"2024-09-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Modeling of Nonlinear Bending Strainwaves in a Metamaterial Chain\",\"authors\":\"A. V. Porubov\",\"doi\":\"10.1007/s11141-024-10335-6\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p>We use a discrete–continuum approach to study geometrically nonlinear bending waves in a massin-mass metamaterial chain. The nonlinear equations of motion are derived, both in the form of coupled differential–difference equations and in the form of partial differential equations in the continuum limit. The possible existence of an analytical solution of continuum equations in the form of a solitary strain wave is examined.</p>\",\"PeriodicalId\":748,\"journal\":{\"name\":\"Radiophysics and Quantum Electronics\",\"volume\":\"66 10\",\"pages\":\"780 - 786\"},\"PeriodicalIF\":0.8000,\"publicationDate\":\"2024-09-30\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Radiophysics and Quantum Electronics\",\"FirstCategoryId\":\"5\",\"ListUrlMain\":\"https://link.springer.com/article/10.1007/s11141-024-10335-6\",\"RegionNum\":4,\"RegionCategory\":\"地球科学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"ENGINEERING, ELECTRICAL & ELECTRONIC\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Radiophysics and Quantum Electronics","FirstCategoryId":"5","ListUrlMain":"https://link.springer.com/article/10.1007/s11141-024-10335-6","RegionNum":4,"RegionCategory":"地球科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"ENGINEERING, ELECTRICAL & ELECTRONIC","Score":null,"Total":0}
Modeling of Nonlinear Bending Strainwaves in a Metamaterial Chain
We use a discrete–continuum approach to study geometrically nonlinear bending waves in a massin-mass metamaterial chain. The nonlinear equations of motion are derived, both in the form of coupled differential–difference equations and in the form of partial differential equations in the continuum limit. The possible existence of an analytical solution of continuum equations in the form of a solitary strain wave is examined.
期刊介绍：
Radiophysics and Quantum Electronics contains the most recent and best Russian research on topics such as:
Radio astronomy;
Plasma astrophysics;
Ionospheric, atmospheric and oceanic physics;
Radiowave propagation;
Quantum radiophysics;
Pphysics of oscillations and waves;
Physics of plasmas;
Statistical radiophysics;
Electrodynamics;
Vacuum and plasma electronics;
Acoustics;
Solid-state electronics.
Radiophysics and Quantum Electronics is a translation of the Russian journal Izvestiya VUZ. Radiofizika, published by the Radiophysical Research Institute and N.I. Lobachevsky State University at Nizhnii Novgorod, Russia. The Russian volume-year is published in English beginning in April.
All articles are peer-reviewed.
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