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Çѱ¹¼öÀÚ¿øÇÐȸ / v.30, no.3, 1997³â, pp.225-233
À¯ÇÑÇÑ Bandwidth¸¦ °®´Â ºñ¼±Çü ºÒ±ÔÄ¢ ÆÄ¿­¿¡¼­ÀÇ Threshold Crossing Rate, À§»óºÐÆ÷¿Í ÆÄ±ºÆ¯¼º
( Threshold Crossing Rate, Phase Distribution and Group Properties of Nonlinear Random Waves of finite Bandwidth )
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ºÎüÀÇ ÀåÁ⵿ֱ¿ä, ¿¬¾È±¸Á¶¹°°ú °è·ù¼±ÀÇ ÆÄ±« µî°ú °°Àº ¿ª±â´ÉÀ¸·Î ÀÎÇØ ÆÄ±ºÇö»óÀÇ Á¤È®ÇÑ ÇØ¼®Àº ½Ã±ÞÇÑ °úÁ¦¶ó ÇϰڴÙ. º»°í¿¡¼­´Â ¿¬¾È°è¿¡¼­ ¹ß»ýÇÏ´Â ÆÄ¶û°ú °¡Àå ±ÙÁ¢ÇÑ ºñ¼±ÇüºÒ±ÔÄ¢ ÆÄ¶û°è¸¦ »êÁ¤ÇÏ¿© ÇØ¾È±¸Á¶¹°ÀÇ ÇǷΰŵ¿¿¡ Áö´ëÇÑ ¿µÇâÀ» ¹ÌÄ¡´Â ÆÄ±º´ç ÆÄ¶ûÀÇ ¼ö¿Í ÇØ¾È±¸Á¶¹°ÀÇ first excursion failure mode¸¦ °áÁ¤ÇÏ´Â high run¿¡¼­ÀÇ ÆÄ¶û¼ö¸¦ Áß½ÉÀ¸·Î ÆÄ±ºÇö»óÀ» ÇØ¼®ÇÏ¿´´Ù. ÇØ¼®°úÁ¤¿¡ mapping technique°ú À¯ÀÇÆÄ°æ»ç¸¦ perturbation parameter·Î ¼·µ¿ÀÌ·ÐÀÌ »ç¿ëµÇ¾ú´Ù. ÇØ¼®°á°ú Gaussian wave°è¿¡¼­ ±ÕµîºÐÆ÷ÇÏ´Â °ÍÀ¸·Î ¾Ë·ÁÁø À§»óÇÔ¼ö´Â Æò±Õ°ª ÁÖÀ§¿¡ ÁýÁßºÐÆ÷ÇÏ¿´°í, ±× Á¤µµ´Â ºñ¼±Çü¼ºÀÌ Áõ°¡ÇÒ¼ö·Ï ½ÉÈ­µÇ¾ú´Ù. threshold crossing rateÀÇ °æ¿ì ºñ¼±Çü¼ºÀÌ ½ÉÈ­µÉ¼ö·Ï Æò±ÕÇØ¼öÀ§º¸´Ù Å« ÂÊÀ¸·Î ºÐÆ÷ÇüÀÌ À̵¿ÇÏ¿´À¸¸ç ÆÄ±º´ç ÆÄ¶û¼ö¿Í high run¿¡¼­ÀÇ ÆÄ¶û¼öµµ ºñ½ÁÇÑ °æÇâÀ» º¸¿© ÃÖ±Ù ¼³Ä¡¹üÀ§°¡ ½ÉÇØÂÊÀ¸·Î È®´ëµÇ´Â ÇØ¾È±¸Á¶¹ÉÀÇ °æ¿ì ÇǷΰŵ¿¿¡ ´ëÇÑ º¸°­ÀÌ ¿ä¸¸µÈ´Ù.
The nonlinear effects on the statistical properties of wave groups in terms of the average nomber of waves in a group and the mean number of waves in a high run is studied in this paper utilizing the complex envelope and total phase function, random variable transformation technique and perturbation method. It tures out that the phase distribution is modified significantly by nonlinearities and it show systematic excess of values near the mean phase and the corresponding symmetrical deficiency on both sides away from the mean. for the case of threshold crossing rate, it turns out that threshold crossing rate reaches its maxima just below the mean water level rather than zero and considerable amount of probability mass is shifted toward the larger values of water surface elevation as nonlinearity is getting profound. Furthermore, the mean waves in a high run associated with nonlinear wave are shown to have larger values than the linear counterpart. Similar trend can also be found in the average number of waves in a group.
 
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Çѱ¹¼öÀÚ¿øÇÐȸ³í¹®Áý / v.30, no.3, 1997³â, pp.225-233
Çѱ¹¼öÀÚ¿øÇÐȸ
ISSN : 1226-6280
UCI : G100:I100-KOI(KISTI1.1003/JNL.JAKO199711920100183)
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