A hybrid averaging and harmonic balance method for weakly nonlinear asymmetric resonators

SW Shaw, S Rosenberg, O Shoshani - Nonlinear Dynamics, 2023 - Springer
Abstract Models for nonlinear vibrations commonly employ polynomial terms that arise from
series expansions about an equilibrium point. The analysis of symmetric systems with cubic …

Frequency stabilization in a pseudo-linear micromechanical parametric oscillator

Y Xu, L Wang, C Wang, J Ren, J Lv, G Shao… - International Journal of …, 2024 - Elsevier
Micromechanical oscillator sustains oscillation through a velocity-proportional feedback
force. Stabilization of the oscillation frequency is typically achieved by increasing the …

Mechanical Control of Nonlinearity in Doubly Clamped MEMS Beam Resonators Using Preloaded Lattice-Mismatch Strain

C Li, B Qiu, Y Yoshioka, K Hirakawa, Y Zhang - Physical Review Applied, 2023 - APS
We theoretically clarify the mechanism of the strain-tuning effect for control of the mechanical
nonlinearity in doubly clamped MEMS beam resonators and experimentally demonstrate …

Non-monotonic dynamics (mixed hardening/softening) in nonlinear continuous structures: An asymptotic formulation

F Lan, T Guo - Nonlinear Dynamics, 2024 - Springer
Non-monotonic dynamics of nonlinear continuous structures, ie, mixed hardening
(H)/softening (S) behavior in the vicinity of H/S transition, is comprehensively investigated by …

Finding an optimal shape of a curved mechanical beam for enhanced internal resonance

S Rosenberg, Y Feldman, O Shoshani - Nonlinear Dynamics, 2024 - Springer
One of the most interesting nonlinear phenomena of mode coupling is internal resonances,
which can promote directed energy transfer from one eigenmode to another, even at small …

Model of a micromechanical mode-localized accelerometer with an initially curved microbeam as a sensitive element

DA Indeitsev, NV Mozhgova, AV Lukin, IA Popov - Mechanics of Solids, 2023 - Springer
The present study is devoted to mathematical modeling of the proposed new architecture of
a microelectromechanical mode-localized acceleration sensor (MEMS accelerometer …

One-to-two internal resonance in a micro-mechanical resonator with strong Duffing nonlinearity

J Yu, A Donmez, H Herath, H Cho - Journal of Micromechanics …, 2023 - iopscience.iop.org
This paper investigates the implementation of 1: 2 internal resonance (InRes) in a clamped–
clamped stepped beam resonator with a strong Duffing effect, focusing on its potential for …

Model of a micromechanical modal-localized accelerometer with an initially curvedmicrobeam as a sensitive element

N Mozhgova, A Lukin, I Popov - Conference on Microactuators and …, 2022 - Springer
The present study is devoted to mathematical modeling of the proposed new architecture of
a microelectromechanical mode-localized acceleration sensor (MEMS accelerometer …

[HTML][HTML] Modeling and Structural Analysis of MEMS Shallow Arch Assuming Multimodal Initial Curvature Profiles

AM Alneamy, HM Ouakad - Mathematics, 2024 - mdpi.com
The present investigation focuses on the design and mathematical modeling of a
microelectromechanical (MEMS) mode-localized based sensor/actuator system. This device …

Model of a Micromechanical Modal-Localized Accelerometer with a Sensitive Element in the Form of a Beam with an Initial Deflection

DA Indeytsev, NV Mozhgova… - Izvestiâ Akademii …, 2023 - journals.rcsi.science
The present study is devoted to mathematical modeling of the proposed new architecture of
a microelectromechanical modally localized acceleration sensor (MEMS accelerometer …