div class=ts-pagebutton class=gotoPage data-page=1Page 1button div class=ts-imagea href=https:reader039vdocumentinreader039viewer20220226005b42f8f77f8b9a4f5d8b89e1html5page1jpg target=_blank img data-url=-viii-4-4-contents-natural-mode-shapes-and-frequencies-derived-from-the-differentialhtmlpage=1 data-page=1 class=ts-thumb lazyload alt=Page 1: · viii 4-4 CONTENTS Natural mode shapes and frequencies derived from the differential equation Solution of characteristic equations Natural modes and frequencies of loading=lazy src=data:imagegifbase64iVBORw0KGgoAAAANSUhEUgAAAAIAAAACCAQAAADYv8WvAAAAD0lEQVR42mP8X8AwAgiABKBAv+vAXklAAAAAElFTkSuQmCC data-src=https:reader039vdocumentinreader039viewer20220226005b42f8f77f8b9a4f5d8b89e1html5thumbnails1jpg width=140 height=200 adivdivdiv class=ts-pagebutton class=gotoPage data-page=2Page 2button div class=ts-imagea href=https:reader039vdocumentinreader039viewer20220226005b42f8f77f8b9a4f5d8b89e1html5page2jpg target=_blank img data-url=-viii-4-4-contents-natural-mode-shapes-and-frequencies-derived-from-the-differentialhtmlpage=2 data-page=2 class=ts-thumb lazyload alt=Page 2: · viii 4-4 CONTENTS Natural mode shapes and frequencies derived from the differential equation Solution of characteristic equations Natural modes and frequencies of loading=lazy src=data:imagegifbase64iVBORw0KGgoAAAANSUhEUgAAAAIAAAACCAQAAADYv8WvAAAAD0lEQVR42mP8X8AwAgiABKBAv+vAXklAAAAAElFTkSuQmCC data-src=https:reader039vdocumentinreader039viewer20220226005b42f8f77f8b9a4f5d8b89e1html5thumbnails2jpg width=140 height=200 adivdivdiv class=ts-pagebutton class=gotoPage data-page=3Page 3button div class=ts-imagea href=https:reader039vdocumentinreader039viewer20220226005b42f8f77f8b9a4f5d8b89e1html5page3jpg target=_blank img data-url=-viii-4-4-contents-natural-mode-shapes-and-frequencies-derived-from-the-differentialhtmlpage=3 data-page=3 class=ts-thumb lazyload alt=Page 3: · viii 4-4 CONTENTS Natural mode shapes and frequencies derived from the differential equation Solution of characteristic equations Natural modes and frequencies of loading=lazy src=data:imagegifbase64iVBORw0KGgoAAAANSUhEUgAAAAIAAAACCAQAAADYv8WvAAAAD0lEQVR42mP8X8AwAgiABKBAv+vAXklAAAAAElFTkSuQmCC data-src=https:reader039vdocumentinreader039viewer20220226005b42f8f77f8b9a4f5d8b89e1html5thumbnails3jpg width=140 height=200 adivdivdiv class=ts-pagebutton class=gotoPage data-page=4Page 4button div class=ts-imagea href=https:reader039vdocumentinreader039viewer20220226005b42f8f77f8b9a4f5d8b89e1html5page4jpg target=_blank img data-url=-viii-4-4-contents-natural-mode-shapes-and-frequencies-derived-from-the-differentialhtmlpage=4 data-page=4 class=ts-thumb lazyload alt=Page 4: · viii 4-4 CONTENTS Natural mode shapes and frequencies derived from the differential equation Solution of characteristic equations Natural modes and frequencies of loading=lazy src=data:imagegifbase64iVBORw0KGgoAAAANSUhEUgAAAAIAAAACCAQAAADYv8WvAAAAD0lEQVR42mP8X8AwAgiABKBAv+vAXklAAAAAElFTkSuQmCC data-src=https:reader039vdocumentinreader039viewer20220226005b42f8f77f8b9a4f5d8b89e1html5thumbnails4jpg width=140 height=200 adivdiv