Fig. 1 ( a ) Plan view of the straight piping system layout, ( b ) side view of the straight piping system layout, ( c ) elevation of the straight piping system layout, and ( d ) idealization elevation view of the straight piping system layout More about this image found in ( a ) Plan view of the straight piping system layout, ( b ) side view of th...

Fig. 2 Geometry of the pipe with intermediate flexible discrete supports More about this image found in Geometry of the pipe with intermediate flexible discrete supports

Fig. 3 Effect of fluid mass on natural frequency More about this image found in Effect of fluid mass on natural frequency

Fig. 4 ( a ) Effect of stiffness of intermediate supports located at 7 m and 28 m on displacement and ( b ) effect of stiffness of intermediate supports located at 14 m and 21 m on displacement More about this image found in ( a ) Effect of stiffness of intermediate supports located at 7 m and 28 m ...

Fig. 5 Mode shapes for various stiffnesses of intermediate supports More about this image found in Mode shapes for various stiffnesses of intermediate supports

Fig. 6 Effect of fluid velocity on natural frequency More about this image found in Effect of fluid velocity on natural frequency

Fig. 7 Effect of temperature differential on natural frequency More about this image found in Effect of temperature differential on natural frequency

Fig. 8 Effect of self-weight on natural frequency More about this image found in Effect of self-weight on natural frequency

Fig. 9 Effect of number of intermediate supports on dimensionless natural frequency More about this image found in Effect of number of intermediate supports on dimensionless natural frequenc...

Fig. 10 Dimensionless natural frequency versus the dimensionless stiffness of the intermediate supports More about this image found in Dimensionless natural frequency versus the dimensionless stiffness of the i...

Fig. 11 Dimensionless stiffness of the intermediate supports versus the dimensionless natural frequency More about this image found in Dimensionless stiffness of the intermediate supports versus the dimensionle...

Fig. 12 Plan view of the reference L-Shape piping system More about this image found in Plan view of the reference L-Shape piping system

Fig. 13 ( a ) Effect of outer diameter to wall thickness ratio D / t w on the normalized natural frequency of piping system, ( b ) effect of elbow radius to outer diameter ratio R / D on the normalized natural frequency of piping system, ( c ) effect of distance from el... More about this image found in ( a ) Effect of outer diameter to wall thickness ratio D / t w ...

Fig. 14 Plan view of the reference S-Shape piping system More about this image found in Plan view of the reference S-Shape piping system

Fig. 15 Reduction factor in the normalized natural frequency More about this image found in Reduction factor in the normalized natural frequency