One-Step FE Model Updating Using Local Correspondence and Mode Shape Orthogonality

<div><svg height="8.79011pt" id="M138" style="vertical-align:-0.04980946pt" version="1.1" viewbox="-0.0498162 -8.7403 20.0512 8.79011" width="20.0512pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"><g transform="matrix(.013,0,0,-0.013,0,0)"><path d="M600 0V24L339 665L311 657L43 24V0H600ZM497 50H107L303 539L497 50Z"></path></g><g transform="matrix(.013,0,0,-0.013,8.327,0)"><path d="M860 0V35C782 43 777 50 775 142L766 516C764 599 768 607 848 615V650H646L450 212L258 650H51V615C137 607 144 593 136 480L120 282C112 177 105 124 99 93C92 57 74 40 17 35V0H258V35C191 41 172 50 168 95C164 126 163 173 168 256L180 517H184L388 7H416L637 527H642L644 142C644 50 639 43 564 35V0H860Z"></path></g></svg> for increasing the mass of one of the top branches of the T structure. The figure shows 51 × 51 cells where the maximum absolute value in the cell is shown. Each cell is a 15 × 15 submatrix of the 762 × 762 matrix <span class="nowrap"><svg height="8.79011pt" id="M139" style="vertical-align:-0.04980946pt" version="1.1" viewbox="-0.0498162 -8.7403 20.0512 8.79011" width="20.0512pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"><g transform="matrix(.013,0,0,-0.013,0,0)"><path d="M600 0V24L339 665L311 657L43 24V0H600ZM497 50H107L303 539L497 50Z"></path></g><g transform="matrix(.013,0,0,-0.013,8.327,0)"><path d="M860 0V35C782 43 777 50 775 142L766 516C764 599 768 607 848 615V650H646L450 212L258 650H51V615C137 607 144 593 136 480L120 282C112 177 105 124 99 93C92 57 74 40 17 35V0H258V35C191 41 172 50 168 95C164 126 163 173 168 256L180 517H184L388 7H416L637 527H642L644 142C644 50 639 43 564 35V0H860Z"></path></g></svg>.</span> Every second element on the arm had its mass increased by 300% or three times the mass of a single element.</div>

Shock and Vibration

fig3

Figure 3

Figure 3: One-Step FE Model Updating Using Local Correspondence and Mode Shape Orthogonality 