Meemee Chu Joanna Ortiz Sevanne Calle

Wilbaldo Acevedo

Mentor: Lily Li Advisor: Professor Kimberly Turner

Micro-cantilevers are oscillators

Microcantilever

1/5 mm

𝜔𝑛 =𝑘𝑚

Natural frequency of a mechanical oscillator

𝜔𝑛 Frequency

Ampl

itude

𝜔′𝑛 =𝑘

(𝑚 + ∆𝑚) 𝜔𝑛 =

𝑘𝑚

Microcantilever

o Study idealized model

o Learning the mechanical properties of a micro-cantilever

200 μm

450x20x2 μm

o Using MATLAB to analyze data

Computer

Computer

Function Generator

Computer

Function Generator

Device

Piezoelectric material

Microscope

Computer

Function Generator

Device

Piezoelectric material

Microscope

Laser Vibrometer

Computer

Function Generator

Device

Piezoelectric material

Microscope

Laser Vibrometer

Computer

Function Generator

Device

Piezoelectric material

Microscope

Laser Vibrometer Spectrum

Analyzer

Computer

Function Generator

Device

Piezoelectric material

Linear Response of the System

V

Power vs. Frequency

Linear and Nonlinear Response

V

Power vs. Frequency

Linear Response

1 V

Power vs. Frequency

Nonlinear Response

10 V

Power vs. Frequency

Results

The harder the driving force the larger the amplitude response

Results

A maximum driving force exists around 3V to maintain a linear response Power vs. Frequency

Results

Hysteresis exist for nonlinear response Power vs. Frequency

Oscillating into our Future Further the studying of the micro-cantilever system

and its coating material Ultimately improving and obtaining new technology

𝜔′𝑛 =𝑘

(𝑚 + ∆𝑚)

Frequency Shift with added mass

Thank You

Mentor Lily Li Professor Turner Faculty and Peers Resident Assistants

Jack Kent Cooke Foundation YOU!

Success and Difficulties

This week… we learned The mechanical properties of oscillators The experiment set up Matlab and Comsol