Application of He's new frequency-amplitude formulation for the nonlinear oscillators by introducing a new trend for determining the location points

This paper offers a concise overview regarding ancient Chinese mathematics, centering on the Ying Buzu Shu, He Chengtian inequality, and the frequency formulation stemming from them. Moreover, it delves into the Max-min approach and Chunhui He’s iterative algorithm. What’s more, the spotlight is cast on ancient Chinese mathematics, which bears certain similarities to the ancient Babylonian mathematical tradition. Subsequently, the old Babylonian algorithm for computing square roots is adapted to tackle the hurdle of nonlinear differential equations. To showcase the potential of this approach, a set of Micro-Electro-Mechanical systems (MEMS) problems are utilized to exemplify the effectiveness of the modified old Babylonian algorithm in attaining high-precision analytical solutions, accompanied by an exploration of its prospective applications.

show abstract

scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.

Contact Info

customersupport@researchsolutions.com

10624 S. Eastern Ave., Ste. A-614

Henderson, NV 89052, USA

This site is protected by reCAPTCHA and the Google Privacy Policy and Terms of Service apply.

Blog Terms and Conditions API Terms Privacy Policy Contact Cookie Preferences Do Not Sell or Share My Personal Information

Made with 💙 for researchers

Part of the Research Solutions Family.

Application of He's new frequency-amplitude formulation for the nonlinear oscillators by introducing a new trend for determining the location points

Cited by 4 publications

References 47 publications

From periodic to pseudo-periodic motion and pull-in instability of the MWCNT actuator in the vicinity of the graphite sheets

From periodic to pseudo-periodic motion and pull-in instability of the MWCNT actuator in the vicinity of the graphite sheets

Piezoelectric Biosensor based on ultrasensitive MEMS system

A mini-review on ancient mathematics’ modern applications with an emphasis on the old Babylonian mathematics for MEMS systems

Contact Info

Product

Resources

About