Results 101 to 110 of about 528,533 (276)
ABSTRACT Vibration isolation has long been a critical area of research, with the design of isolators based on the mechanical properties of Euler buckling beams representing one of the primary approaches. Traditionally, the focus has been on utilizing the negative stiffness characteristics of a post‐buckled Euler beam in parallel with positive stiffness
Yichang Feng +3 more
wiley +1 more source
Application of Padé approximation to Euler's constant and Stirling's formula [PDF]
The Digamma function Γ' /Γ admits a well-known (divergent) asymptotic expansion involving Bernoulli's numbers. Using Touchard type orthogonal polynomials, we determine an eective bound for the error made when this asymptotic series is replaced by its ...
Rivoal, Tanguy, Prévost, Marc
core
Multiplicity-weighted Euler's formula for symmetrically arranged space-filling polyhedra. [PDF]
Dauter Z, Jaskolski M.
europepmc +1 more source
ABSTRACT The design of control systems for high‐agility mechanical systems operating in extreme environments is a significant challenge in nonlinear dynamics. This paper addresses the complex dynamic control problem of a hypersonic interceptor, modeled as a multi‐input multi‐output (MIMO) mechanical system characterized by strong aerodynamic cross ...
Mohammad Mahdi Soori +1 more
wiley +1 more source
Background: In modern education, there is a growing need to adopt a competency-based approach that supports the integration of knowledge across disciplines.
Liudmyla Hetmanenko
doaj
On the arithmetic nature of coefficients of multiplicative eta-functions
In the article we study the arithmetic nature of the coefficients of multiplicative eta-products, also called McKay functions. For some functions it is possible to establish Hecke correspondence between the coefficients of McKay and Hecke grossen ...
G. V. Voskresenskaya
doaj +1 more source
Bending-activated biotensegrity structure enables female Megarhyssa to cross the barrier of Euler's critical force. [PDF]
Wen R, Wang Z, Yi J, Hu Y.
europepmc +1 more source
ABSTRACT Accurate modeling of vibrating machines equipped with Neidhart springs is challenging due to the strong nonlinearities introduced by the elastomer–metal torsional elements and the constraints imposed by their kinematic arrangement. Multibody modeling methodologies for such vibrating machines are often computationally demanding, thus limiting ...
Davide Galli +3 more
wiley +1 more source
Euler's product expansion for the sine: An elementary proof
We provide, by using elementary tools, a new proof of Euler's product expansion for the sine.
Ciaurri, O. [0000-0002-1695-3311]
core +1 more source
A Phase‐Field Model for Quasi‐Dynamic Rupture Nucleation and Propagation of In‐Plane Faults
ABSTRACT Computational modeling of faulting processes is an essential tool for understanding earthquake mechanics but remains challenging due to the structural and material complexities of fault zones. The phase‐field method has recently enabled unified modeling of fault propagation and off‐fault damage within a fracture‐mechanics‐based framework ...
Fan Fei +3 more
wiley +1 more source

