Nonlocal thermoelastic waves inside nanobeam resonator subject to various loadings
- Title
- Nonlocal thermoelastic waves inside nanobeam resonator subject to various loadings
- Creator
- Tiwari R.; Saeed A.M.; Abouelregal A.; Singhal A.; Salem M.G.
- Description
- The present article focuses on the new meticulous model based on the postulate of memory-dependent derivatives to analyze the thermo-mechanical interactions inside the nano-beam-based machined resonators. Also, the size effect on dynamic responses of thermoelastic vibrations of homogeneous and isotropic nano-beam is considered. The fundamental expressions are formulated in the frame of non-local generalized thermoelasticity with paired relaxation times by operating the results of Euler-Bernoulli beam theory, non-local effect, and memory-dependent derivative. The proposed model is applied to study the nano-beam-based machined resonator subjected to the ramp-type heating and exponentially decaying time-dependent load. Closed-form solutions of the physical fields are examined by applying the Laplace transform mathematical mechanism. However, the coherence of the new thermal conductivity framework, a collation has been bestowed among the results obtained in the presence or absence of the memory-dependent derivative; also, the size effect is analyzed on the significant parameters of nano-beam such as deflection, temperature, displacement as well as bending moment. Moreover, the prominent influence of the distinct affecting parameters such as constituents of memory-dependent derivative (kernel function and time delay) and ramping time parameter with an applied load on the physical fields have been investigated with the help of quantitative results. 2022 Taylor & Francis Group, LLC.
- Source
- Mechanics Based Design of Structures and Machines, Vol-52, No. 1, pp. 215-238.
- Date
- 2024-01-01
- Publisher
- Taylor and Francis Ltd.
- Subject
- Kernel functions; memory influence term; nano-beam; non-local effect; ramp type heating; time-delay; time-dependent load
- Coverage
- Tiwari R., Department of Mathematics, Nitishwar College, A constituent unit of Babasaheb Bhimrao Ambedkar Bihar University, Bihar, India; Saeed A.M., Department of Mathematics, College of Science, Qassim University, Buraydah, Saudi Arabia; Abouelregal A., Department of Mathematics, College of Science and Arts, Jouf University, Al-Qurayyat, Saudi Arabia, Department of Mathematics, Faculty of Science, Mansoura University, Mansoura, Egypt; Singhal A., Department of Computational Sciences, School of Sciences, Christ (Deemed to be University) Delhi NCR, Uttar Pradesh, Ghaziabad, India; Salem M.G., Department of Mathematics, Faculty of Science, Mansoura University, Mansoura, Egypt
- Rights
- Restricted Access
- Relation
- ISSN: 15397734
- Format
- Online
- Language
- English
- Type
- Article
Collection
Citation
Tiwari R.; Saeed A.M.; Abouelregal A.; Singhal A.; Salem M.G., “Nonlocal thermoelastic waves inside nanobeam resonator subject to various loadings,” CHRIST (Deemed To Be University) Institutional Repository, accessed February 24, 2025, https://archives.christuniversity.in/items/show/13835.