{"id":9079,"date":"2021-01-24T08:43:40","date_gmt":"2021-01-24T06:43:40","guid":{"rendered":"https:\/\/www.civil.upatras.gr\/index.php\/product\/structural-dynamics\/"},"modified":"2023-12-19T13:55:32","modified_gmt":"2023-12-19T11:55:32","slug":"structural-dynamics","status":"publish","type":"product","link":"https:\/\/www.civil.upatras.gr\/index.php\/product\/structural-dynamics\/?lang=en","title":{"rendered":"STRUCTURAL DYNAMICS"},"content":{"rendered":"","protected":false},"excerpt":{"rendered":"<table width=\"565\">\n<tbody>\n<tr>\n<td width=\"565\">&nbsp;<\/p>\n<p>1.\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Formulation of the equation of motion for viscously damped SDOF systems for (a) externally applied loads and (b) support excitation (<em>e.g.<\/em> earthquake problem).<\/p>\n<p>2.\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Free vibrations of viscously damped SDOF systems; effects of damping: underdamped, critically damped and overdamped systems.<\/p>\n<p>3.\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Free vibrations of SDOF systems with COULOMB friction.<\/p>\n<p>4.\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Forced vibration response of viscously damped SDOF systems to harmonic loading; analytic solution. Applications: (a) measurement of damping of structures; (b) vibration isolation; (c) vibration measurement instruments.<\/p>\n<p>5.\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Response of SDOF systems to periodic loadings.<\/p>\n<p>6.\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Energy dissipated by damping: viscous damping; equivalent viscous damping; rate independent damping; complex stiffness.<\/p>\n<p>7.\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Forced vibration response of SDOF systems to pulse type loadings; analytic solutions. Introduction of the concept of shock spectrum.<\/p>\n<p>8.\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Forced vibration response of SDOF systems to general type of loading: DUHAMEL\u2019s (convolution) integral.<\/p>\n<p>9.\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Numerical evaluation of the dynamic response of a SDOF system; time-stepping methods.<\/p>\n<p>10.\u00a0\u00a0 Response &amp; design spectra for seismic excitation.<\/p>\n<p>11.\u00a0\u00a0 Discrete parameter MDOF systems: Formulation of the equations of motion [reduction of (static) Degrees of Freedom (DOF); static &amp; dynamic condensation]; system matrices [mass, stiffness, and damping matrices, influence vector (for support excitation problems)].<\/p>\n<p>12.\u00a0\u00a0 MDOF systems: Free vibrations of undamped MDOF systems: the generalized eigenvalue problem: natural frequencies and natural modes of vibration. Fundamental properties of the eigenvalues and eigenvectors. Methods for obtaining estimates of natural frequencies (<em>e.g<\/em>. RAYLEIGH quotient). Free vibrations of MDOF systems with classical damping (RAYLEIGH damping &amp; extended RAYLEIGH damping).<\/p>\n<p>MDOF systems: Forced vibrations. Modal response analysis; modal contributions (modal contribution factor; dynamic response factor).<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n","protected":false},"featured_media":6399,"template":"","meta":[],"product_brand":[],"product_cat":[370],"product_tag":[],"class_list":{"0":"post-9079","1":"product","2":"type-product","3":"status-publish","4":"has-post-thumbnail","6":"product_cat-7semester-en","8":"first","9":"instock","10":"shipping-taxable","11":"product-type-simple"},"_links":{"self":[{"href":"https:\/\/www.civil.upatras.gr\/index.php\/wp-json\/wp\/v2\/product\/9079","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.civil.upatras.gr\/index.php\/wp-json\/wp\/v2\/product"}],"about":[{"href":"https:\/\/www.civil.upatras.gr\/index.php\/wp-json\/wp\/v2\/types\/product"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.civil.upatras.gr\/index.php\/wp-json\/wp\/v2\/media\/6399"}],"wp:attachment":[{"href":"https:\/\/www.civil.upatras.gr\/index.php\/wp-json\/wp\/v2\/media?parent=9079"}],"wp:term":[{"taxonomy":"product_brand","embeddable":true,"href":"https:\/\/www.civil.upatras.gr\/index.php\/wp-json\/wp\/v2\/product_brand?post=9079"},{"taxonomy":"product_cat","embeddable":true,"href":"https:\/\/www.civil.upatras.gr\/index.php\/wp-json\/wp\/v2\/product_cat?post=9079"},{"taxonomy":"product_tag","embeddable":true,"href":"https:\/\/www.civil.upatras.gr\/index.php\/wp-json\/wp\/v2\/product_tag?post=9079"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}