The displacement response psd is then derived from (Equation 3). For normal modes, the transfer function matrix is diagonal with diagonal elements H r(ω) Where is the modal transfer function matrix, and is its complex conjugate. An email with the exam procedure will be sent to you after purchase. The process for taking a test is as follows: Step 1: Visit the appropriate exam information page above and purchase your exam by clicking on the 'Buy Now' button in that page. The psd of the modal displacement response is obtained from: All certification testing is done online. If the excitation psd matrix is given as, the modal force psd matrix is defined as: The vector of modal loads is given by:Īssuming that excitations are expressed by their power spectral density (psd) functions, the solution can be formulated in the frequency domain. Where x r(t) are the modal coordinates related to the nodal coordinates u r(t) by: Using coordinate transformation, the set of n simultaneous equations reduces to n independent equations (each equation can be solved independently): The system of equations of motion for a linear n degree-of-freedom system excited by a time varying force is:
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