Most of the loads discussed to this point in these Pipe Stress Analysis Notes have been static loads (or in some cases, dynamic loads modeled as static loads). Static loads are those which are applied slowly enough that the piping system has time to react and internally distribute the loads, thus remaining in equilibrium. Once in equilibrium, all forces and moments are resolved (i.e. the sum of the forces and moments are zero), so the pipe doesn't move.
With a dynamic load — a load which changes quickly with time — the piping system may not have time to internally distribute the loads, so forces and moments are not always resolved — resulting in unbalanced loads, and therefore pipe movement. Since the sum of the forces and moments are not necessarily equal to zero, the internally induced loads can be different — either higher or lower — than the applied loads.
4.1.1 Variation of Load Versus Time — Load Types 4.1.2 System Response Time Versus Timing of Load Change 4.1.3 Lack of System Equilibrium 4.1.4 Movement of Dynamically Loaded System 4.1.5 Relation of Induced System Loads to Applied Loads
4.2.1 Evaluation of a Single Degree-of-Freedom System 4.2.2 The Dynamic Load Factor
4.3 Evaluation of Multi-Degree-of-Freedom Systems
4.3.1 Modal Analysis 4.3.2 Modal Response Multipliers — Participation Factors and DLFs
4.4 Eigensolver Algorithm 4.5 Accuracy of The Dynamic Model
4.5.1 Mass Point Spacing
4.6 Types of Analysis
4.6.1 Time History Analysis 4.6.2 Seismic Spectrum Analysis 188.8.131.52 Generation of the Response Spectrum 184.108.40.206 Application to a Multi-Degree-of Freedom System 220.127.116.11 Modal Results Summation Methods 18.104.22.168 Combination of Spatial Components 22.214.171.124 Missing Mass Correction 4.6.3 Force Spectrum Analysis (for Impulse Loadings) 126.96.36.199 Generation of the Response Spectrum 188.8.131.52 Application to a Multi-Degree-of Freedom System 184.108.40.206 Summation of Responses 4.6.4 Harmonic Analysis
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