Structural Acoustic Control and Sandwich Optimization

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Second level

Third level

University of Delaware

Mechanical Engineering

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Content-Location: file:///C:/B10812B9/StructAcousticsStudies-Summary_files/pres.xml Content-Transfer-Encoding: quoted-printable Content-Type: text/xml; charset="utf-8" ------=_NextPart_01C60EF9.5969F680 Content-Location: file:///C:/B10812B9/StructAcousticsStudies-Summary_files/slide0182.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Structural Acoustic Control and Sandwich Optimization

Sound and Vibration Control= for Aircraft and Automobile Structures

Jian-Qiao Sun

Ph.D., P.E., Professor

Depart= ment of Mechanical Engineering

University of Delaware

Newar= k, DE 19716, USA

------=_NextPart_01C60EF9.5969F680 Content-Location: file:///C:/B10812B9/StructAcousticsStudies-Summary_files/slide0065.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Structural Acoustic Control and Sandwich Optimization

University of Delaware

Mechanical Engineering

Outline

•How to Design Structures for Vibration and = Noise Isolation

èGeometric Consideration

èMaterial Consideration

èActive Technologies

•What Does It Take To Do It Right

èA good model of t= he structure

èA good knowledge = about the frequency content

èProper choice of materials

•Active Structures

èActuators and sen= sors

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University of Delaware

Mechanical Engineering

Geometric Consideration

•Ge= ometry Optimization

èSh= ift the frequency spectrum

èMi= smatch with the operating frequency

èRe= duce the sound radiation/transmission

•Ho= w to Optimize

èRad= iated energy in a frequency band

èSta= tic and dynamic strength constraints

------=_NextPart_01C60EF9.5969F680 Content-Location: file:///C:/B10812B9/StructAcousticsStudies-Summary_files/slide0067.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Structural Acoustic Control and Sandwich Optimization

University of Delaware

Mechanical Engineering

An Example
- Vibrating Panels with Stepped Thickness

•A Uniform Panel vs. an Optimized Non-uniform Panel=

Material properties of the uniform beam

Material

Young Modulus (Pa)

Mass Density

(kg/m3)

Poisson

Radio

Thickness

(m)

Length

(m)

Aluminum

7´1010

2643

0.3

0.01155

1.1

Geometrical and material properties of a non-uniform beam

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gi= <= b>(kg/m2)

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4.52

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1.85

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1.54

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1.85

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4.52

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Di= (N m2)

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39.0

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137.3

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184.1

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137.3

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39.0

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Length (m) <= /b>

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0.22

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0.22

<= /div>

0.22

<= /div>

0.22

<= /div>

0.22

<= /div>

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University of Delaware

Mechanical Engineering

Modal and System Radiation Efficiency
- Uniform Panel

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University of Delaware

Mechanical Engineering

Modal and System Radiation Efficiency
- Non-Uniform Panel

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University of Delaware

Mechanical Engineering

Material Consideration

•Mon= ocoque vs. Composite Materials

èSa= ndwich Structures

•Is= otropic vs. Anisotropic Materials

èAd= vantage of Material Level Wave Coupling

vNo devices needed

•Pa= ssive vs. Active Materials

èIs Control an Option?

------=_NextPart_01C60EF9.5969F680 Content-Location: file:///C:/B10812B9/StructAcousticsStudies-Summary_files/slide0085.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Structural Acoustic Control and Sandwich Optimization

University of Delaware

Mechanical Engineering

An Example
- Optimization of Sandwich Structures

•New Opportunities

èOptimization for Performance in addition to strength
vMinimum sound transmission

vMinimum vibration transmission

èP= arameters to Consider

vGeometry

vDamping

vMaterial anisotropy

•Can material anisotropy help increase
transmission loss?

------=_NextPart_01C60EF9.5969F680 Content-Location: file:///C:/B10812B9/StructAcousticsStudies-Summary_files/slide0189.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Structural Acoustic Control and Sandwich Optimization

University of Delaware

Mechanical Engineering

Why Sandwich Structures?

Harris 1991

Fahy, Walker 1998

Bell 1994

------=_NextPart_01C60EF9.5969F680 Content-Location: file:///C:/B10812B9/StructAcousticsStudies-Summary_files/slide0111.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Structural Acoustic Control and Sandwich Optimization

University of Delaware

Mechanical Engineering

Sound Transmission Reduction
- via Material Anisotropy with<= br> Normal to Shear Wave Conversion=

l

³ l /4

L>> l
Incident wave

Transmitted wave

Converted in-plane wave

Reflected wave

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University of Delaware

Mechanical Engineering

Damping Designs
with Shear Deformation

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University of Delaware

Mechanical Engineering

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Common Features of Damping Design

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------=_NextPart_01C60EF9.5969F680 Content-Location: file:///C:/B10812B9/StructAcousticsStudies-Summary_files/slide0071.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Structural Acoustic Control and Sandwich Optimization

University of Delaware

Mechanical Engineering

Sound and Vibration Transmission
- Across a Sandwich Beam

•Detailed Modeling of a Sandwich Beam =
•Derivation of Vibration and Sound = Transmission Loss •Op= timization of the Sandwich Beam for Higher Sound Transmission Loss

------=_NextPart_01C60EF9.5969F680 Content-Location: file:///C:/B10812B9/StructAcousticsStudies-Summary_files/slide0092.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Structural Acoustic Control and Sandwich Optimization

University of Delaware

Mechanical Engineering

Sound and Vibration Transmis= sion
- A Sandwich Beam=

•Euler Beam Model for the Skins

•High Order Model for the Core

z

Core

U1,W1

U= 3,W3

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University of Delaware

Mechanical Engineering

Sound and Vibration Transmis= sion
- A Sandwich Beam

•Adv= antages of the High Order Model

èIn= terface displacement continuity

èIn= terface stress continuity

Core

Interface

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University of Delaware

Mechanical Engineering

Anisotropic Contributions

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